On the intersection of subgroups in free groups: Echelon subgroups are inert
A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set...
Ausführliche Beschreibung
Gespeichert in:
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Rosenmann, Amnon [verfasserIn] |
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| Erschienen: |
Walter de Gruyter GmbH ; 2013 |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
Enthalten in: Groups, complexity, cryptology - Lemgo : Heldermann, 2009, 5(2013), 2 vom: 11. Okt., Seite 211-221 |
| Übergeordnetes Werk: |
volume:5 ; year:2013 ; number:2 ; day:11 ; month:10 ; pages:211-221 ; extent:11 |
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| DOI / URN: |
10.1515/gcc-2013-0013 |
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| 520 | |a A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. | ||
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10.1515/gcc-2013-0013 doi artikel_Grundlieferung.pp (DE-627)NLEJ24688245X DE-627 ger DE-627 rakwb Rosenmann, Amnon verfasserin aut On the intersection of subgroups in free groups: Echelon subgroups are inert Walter de Gruyter GmbH 2013 11 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. Walter de Gruyter Online Zeitschriften Free groups subgroups intersection echelon subgroups inert subgroups compressed subgroups 1-generator endomorphisms fixed subgroups of automorphisms Enthalten in Groups, complexity, cryptology Lemgo : Heldermann, 2009 5(2013), 2 vom: 11. Okt., Seite 211-221 (DE-627)NLEJ248235575 (DE-600)2546373-1 1869-6104 nnns volume:5 year:2013 number:2 day:11 month:10 pages:211-221 extent:11 https://doi.org/10.1515/gcc-2013-0013 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 5 2013 2 11 10 211-221 11 |
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10.1515/gcc-2013-0013 doi artikel_Grundlieferung.pp (DE-627)NLEJ24688245X DE-627 ger DE-627 rakwb Rosenmann, Amnon verfasserin aut On the intersection of subgroups in free groups: Echelon subgroups are inert Walter de Gruyter GmbH 2013 11 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. Walter de Gruyter Online Zeitschriften Free groups subgroups intersection echelon subgroups inert subgroups compressed subgroups 1-generator endomorphisms fixed subgroups of automorphisms Enthalten in Groups, complexity, cryptology Lemgo : Heldermann, 2009 5(2013), 2 vom: 11. Okt., Seite 211-221 (DE-627)NLEJ248235575 (DE-600)2546373-1 1869-6104 nnns volume:5 year:2013 number:2 day:11 month:10 pages:211-221 extent:11 https://doi.org/10.1515/gcc-2013-0013 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 5 2013 2 11 10 211-221 11 |
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10.1515/gcc-2013-0013 doi artikel_Grundlieferung.pp (DE-627)NLEJ24688245X DE-627 ger DE-627 rakwb Rosenmann, Amnon verfasserin aut On the intersection of subgroups in free groups: Echelon subgroups are inert Walter de Gruyter GmbH 2013 11 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. Walter de Gruyter Online Zeitschriften Free groups subgroups intersection echelon subgroups inert subgroups compressed subgroups 1-generator endomorphisms fixed subgroups of automorphisms Enthalten in Groups, complexity, cryptology Lemgo : Heldermann, 2009 5(2013), 2 vom: 11. Okt., Seite 211-221 (DE-627)NLEJ248235575 (DE-600)2546373-1 1869-6104 nnns volume:5 year:2013 number:2 day:11 month:10 pages:211-221 extent:11 https://doi.org/10.1515/gcc-2013-0013 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 5 2013 2 11 10 211-221 11 |
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10.1515/gcc-2013-0013 doi artikel_Grundlieferung.pp (DE-627)NLEJ24688245X DE-627 ger DE-627 rakwb Rosenmann, Amnon verfasserin aut On the intersection of subgroups in free groups: Echelon subgroups are inert Walter de Gruyter GmbH 2013 11 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. Walter de Gruyter Online Zeitschriften Free groups subgroups intersection echelon subgroups inert subgroups compressed subgroups 1-generator endomorphisms fixed subgroups of automorphisms Enthalten in Groups, complexity, cryptology Lemgo : Heldermann, 2009 5(2013), 2 vom: 11. Okt., Seite 211-221 (DE-627)NLEJ248235575 (DE-600)2546373-1 1869-6104 nnns volume:5 year:2013 number:2 day:11 month:10 pages:211-221 extent:11 https://doi.org/10.1515/gcc-2013-0013 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 5 2013 2 11 10 211-221 11 |
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10.1515/gcc-2013-0013 doi artikel_Grundlieferung.pp (DE-627)NLEJ24688245X DE-627 ger DE-627 rakwb Rosenmann, Amnon verfasserin aut On the intersection of subgroups in free groups: Echelon subgroups are inert Walter de Gruyter GmbH 2013 11 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. Walter de Gruyter Online Zeitschriften Free groups subgroups intersection echelon subgroups inert subgroups compressed subgroups 1-generator endomorphisms fixed subgroups of automorphisms Enthalten in Groups, complexity, cryptology Lemgo : Heldermann, 2009 5(2013), 2 vom: 11. Okt., Seite 211-221 (DE-627)NLEJ248235575 (DE-600)2546373-1 1869-6104 nnns volume:5 year:2013 number:2 day:11 month:10 pages:211-221 extent:11 https://doi.org/10.1515/gcc-2013-0013 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 5 2013 2 11 10 211-221 11 |
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on the intersection of subgroups in free groups: echelon subgroups are inert |
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On the intersection of subgroups in free groups: Echelon subgroups are inert |
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A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. |
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A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. |
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A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ24688245X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220820024740.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">220814s2013 xx |||||o 00| ||und c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/gcc-2013-0013</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">artikel_Grundlieferung.pp</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ24688245X</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rosenmann, Amnon</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the intersection of subgroups in free groups: Echelon subgroups are inert</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="b">Walter de Gruyter GmbH</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">11</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A subgroup H of a free group F is called inert in F if for every .In this paper we expand the known families of inert subgroups.We show that the inertia property holds for 1-generator endomorphisms.Equivalently, echelon subgroups in free groups are inert.An echelon subgroup is defined through a set of generators that are in echelon form with respect to some ordered basis of the free group, and may be seen as a generalization of a free factor.For example, the fixed subgroups of automorphisms of finitely generated free groups are echelon subgroups.The proofs follow mostly a graph-theoretic or combinatorial approach.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Walter de Gruyter Online Zeitschriften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Free groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">subgroups intersection</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">echelon subgroups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">inert subgroups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">compressed subgroups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">1-generator endomorphisms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">fixed subgroups of automorphisms</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Groups, complexity, cryptology</subfield><subfield code="d">Lemgo : Heldermann, 2009</subfield><subfield code="g">5(2013), 2 vom: 11. Okt., Seite 211-221</subfield><subfield code="w">(DE-627)NLEJ248235575</subfield><subfield code="w">(DE-600)2546373-1</subfield><subfield code="x">1869-6104</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:5</subfield><subfield code="g">year:2013</subfield><subfield code="g">number:2</subfield><subfield code="g">day:11</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:211-221</subfield><subfield code="g">extent:11</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/gcc-2013-0013</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DGR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">5</subfield><subfield code="j">2013</subfield><subfield code="e">2</subfield><subfield code="b">11</subfield><subfield code="c">10</subfield><subfield code="h">211-221</subfield><subfield code="g">11</subfield></datafield></record></collection>
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