Abstract homomorphisms from locally compact groups to discrete groups
We show that every abstract homomorphism φ from a locally compact group L to a graph product G Γ , endowed with the discrete topology, is either continuous or φ ( L ) lies in a ‘small’ parabolic subgroup. In particular, every locally compact group topology on a graph product whose graph is not ‘smal...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kramer, Linus [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Umfang: |
13 |
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| Übergeordnetes Werk: |
Enthalten in: A two stage successive estimation based maximum power point tracking technique for photovoltaic modules - Christy Mano Raj, J.S. ELSEVIER, 2014, San Diego, Calif |
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| Übergeordnetes Werk: |
volume:538 ; year:2019 ; day:15 ; month:11 ; pages:127-139 ; extent:13 |
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| DOI / URN: |
10.1016/j.jalgebra.2019.07.026 |
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| 520 | |a We show that every abstract homomorphism φ from a locally compact group L to a graph product G Γ , endowed with the discrete topology, is either continuous or φ ( L ) lies in a ‘small’ parabolic subgroup. In particular, every locally compact group topology on a graph product whose graph is not ‘small’ is discrete. This extends earlier work by Morris-Nickolas. | ||
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We show that every abstract homomorphism φ from a locally compact group L to a graph product G Γ , endowed with the discrete topology, is either continuous or φ ( L ) lies in a ‘small’ parabolic subgroup. In particular, every locally compact group topology on a graph product whose graph is not ‘small’ is discrete. This extends earlier work by Morris-Nickolas. |
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We show that every abstract homomorphism φ from a locally compact group L to a graph product G Γ , endowed with the discrete topology, is either continuous or φ ( L ) lies in a ‘small’ parabolic subgroup. In particular, every locally compact group topology on a graph product whose graph is not ‘small’ is discrete. This extends earlier work by Morris-Nickolas. |
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We show that every abstract homomorphism φ from a locally compact group L to a graph product G Γ , endowed with the discrete topology, is either continuous or φ ( L ) lies in a ‘small’ parabolic subgroup. In particular, every locally compact group topology on a graph product whose graph is not ‘small’ is discrete. This extends earlier work by Morris-Nickolas. |
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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">ELV047840900</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624141545.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">191023s2019 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jalgebra.2019.07.026</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBV00000000000741.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV047840900</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0021-8693(19)30421-1</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="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">333.7</subfield><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.13</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kramer, Linus</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Abstract homomorphisms from locally compact groups to discrete groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">13</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We show that every abstract homomorphism φ from a locally compact group L to a graph product G Γ , endowed with the discrete topology, is either continuous or φ ( L ) lies in a ‘small’ parabolic subgroup. 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