On some decompositions of the 3-strand singular braid group
Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate...
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Gespeichert in:
| Autor*in: |
Gongopadhyay, Krishnendu [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Frequent mutations in the RPL22 gene and its clinical and functional implications - 2013, a journal devoted to general, geometric, set-theoretic and algebraic topology, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:283 ; year:2020 ; day:1 ; month:09 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.topol.2020.107398 |
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ELV052019950 |
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| 520 | |a Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . | ||
| 520 | |a Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . | ||
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10.1016/j.topol.2020.107398 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001230.pica (DE-627)ELV052019950 (ELSEVIER)S0166-8641(20)30340-0 DE-627 ger DE-627 rakwb eng 610 VZ 610 VZ 44.11 bkl Gongopadhyay, Krishnendu verfasserin aut On some decompositions of the 3-strand singular braid group 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . 20E07 Elsevier 20F36 Elsevier 57K12 Elsevier Kozlovskaya, Tatyana A. oth Mamonov, Oleg V. oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:283 year:2020 day:1 month:09 pages:0 https://doi.org/10.1016/j.topol.2020.107398 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 283 2020 1 0901 0 |
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10.1016/j.topol.2020.107398 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001230.pica (DE-627)ELV052019950 (ELSEVIER)S0166-8641(20)30340-0 DE-627 ger DE-627 rakwb eng 610 VZ 610 VZ 44.11 bkl Gongopadhyay, Krishnendu verfasserin aut On some decompositions of the 3-strand singular braid group 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . 20E07 Elsevier 20F36 Elsevier 57K12 Elsevier Kozlovskaya, Tatyana A. oth Mamonov, Oleg V. oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:283 year:2020 day:1 month:09 pages:0 https://doi.org/10.1016/j.topol.2020.107398 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 283 2020 1 0901 0 |
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10.1016/j.topol.2020.107398 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001230.pica (DE-627)ELV052019950 (ELSEVIER)S0166-8641(20)30340-0 DE-627 ger DE-627 rakwb eng 610 VZ 610 VZ 44.11 bkl Gongopadhyay, Krishnendu verfasserin aut On some decompositions of the 3-strand singular braid group 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . 20E07 Elsevier 20F36 Elsevier 57K12 Elsevier Kozlovskaya, Tatyana A. oth Mamonov, Oleg V. oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:283 year:2020 day:1 month:09 pages:0 https://doi.org/10.1016/j.topol.2020.107398 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 283 2020 1 0901 0 |
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10.1016/j.topol.2020.107398 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001230.pica (DE-627)ELV052019950 (ELSEVIER)S0166-8641(20)30340-0 DE-627 ger DE-627 rakwb eng 610 VZ 610 VZ 44.11 bkl Gongopadhyay, Krishnendu verfasserin aut On some decompositions of the 3-strand singular braid group 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . 20E07 Elsevier 20F36 Elsevier 57K12 Elsevier Kozlovskaya, Tatyana A. oth Mamonov, Oleg V. oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:283 year:2020 day:1 month:09 pages:0 https://doi.org/10.1016/j.topol.2020.107398 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 283 2020 1 0901 0 |
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10.1016/j.topol.2020.107398 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001230.pica (DE-627)ELV052019950 (ELSEVIER)S0166-8641(20)30340-0 DE-627 ger DE-627 rakwb eng 610 VZ 610 VZ 44.11 bkl Gongopadhyay, Krishnendu verfasserin aut On some decompositions of the 3-strand singular braid group 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . 20E07 Elsevier 20F36 Elsevier 57K12 Elsevier Kozlovskaya, Tatyana A. oth Mamonov, Oleg V. oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:283 year:2020 day:1 month:09 pages:0 https://doi.org/10.1016/j.topol.2020.107398 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 283 2020 1 0901 0 |
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Frequent mutations in the RPL22 gene and its clinical and functional implications |
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On some decompositions of the 3-strand singular braid group |
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On some decompositions of the 3-strand singular braid group |
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Gongopadhyay, Krishnendu |
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Frequent mutations in the RPL22 gene and its clinical and functional implications |
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on some decompositions of the 3-strand singular braid group |
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On some decompositions of the 3-strand singular braid group |
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Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . |
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Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . |
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Let S B n be the singular braid group generated by braid generators σ i and singular braid generators τ i , 1 ≤ i ≤ n − 1 . Let S T n denote the group that is the kernel of the homomorphism that maps, for each i, σ i to the cyclic permutation ( i , i + 1 ) and τ i to 1. In this paper we investigate the group S T 3 . We obtain a presentation for S T 3 . We prove that S T 3 is isomorphic to the singular pure braid group S P 3 on 3 strands. We also prove that the group S T 3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z 2 ⁎ Z 2 . |
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On some decompositions of the 3-strand singular braid group |
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