On representation varie ties of some HNN-extensions of free groups

In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t|t(x12…xg2)q›, where g ≥ 3, |p| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated an...
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Autor*in:	Alexandra N. Admiralova [verfasserIn] Valery V. Beniash-Kryvets [verfasserIn]

Format:	E-Artikel
Sprache:	bel ; Englisch ; Russisch

Erschienen:	2019

Schlagwörter:	a group presentation a representation variety a dimension of a variety a rational variety

Übergeordnetes Werk:	In: Журнал Белорусского государственного университета: Математика, информатика - Belarusian State University, 2020, (2019), 2, Seite 10-16
Übergeordnetes Werk:	year:2019 ; number:2 ; pages:10-16

Links:	Link aufrufen Link aufrufen Journal toc Journal toc

Katalog-ID:	DOAJ057703655

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spelling	(DE-627)DOAJ057703655 (DE-599)DOAJe51ba3053545490ea37ee405bb5920a8 DE-627 ger DE-627 rakwb bel eng rus QA1-939 Alexandra N. Admiralova verfasserin aut On representation varie ties of some HNN-extensions of free groups 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t\|t(x12…xg2)q›, where g ≥ 3, \|p\| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety. a group presentation a representation variety a dimension of a variety a rational variety Mathematics Valery V. Beniash-Kryvets verfasserin aut In Журнал Белорусского государственного университета: Математика, информатика Belarusian State University, 2020 (2019), 2, Seite 10-16 (DE-627)1735420964 26173956 nnns year:2019 number:2 pages:10-16 https://doaj.org/article/e51ba3053545490ea37ee405bb5920a8 kostenfrei https://journals.bsu.by/index.php/mathematics/article/view/779 kostenfrei https://doaj.org/toc/2520-6508 Journal toc kostenfrei https://doaj.org/toc/2617-3956 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2 10-16
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allfieldsGer	(DE-627)DOAJ057703655 (DE-599)DOAJe51ba3053545490ea37ee405bb5920a8 DE-627 ger DE-627 rakwb bel eng rus QA1-939 Alexandra N. Admiralova verfasserin aut On representation varie ties of some HNN-extensions of free groups 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t\|t(x12…xg2)q›, where g ≥ 3, \|p\| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety. a group presentation a representation variety a dimension of a variety a rational variety Mathematics Valery V. Beniash-Kryvets verfasserin aut In Журнал Белорусского государственного университета: Математика, информатика Belarusian State University, 2020 (2019), 2, Seite 10-16 (DE-627)1735420964 26173956 nnns year:2019 number:2 pages:10-16 https://doaj.org/article/e51ba3053545490ea37ee405bb5920a8 kostenfrei https://journals.bsu.by/index.php/mathematics/article/view/779 kostenfrei https://doaj.org/toc/2520-6508 Journal toc kostenfrei https://doaj.org/toc/2617-3956 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2 10-16
allfieldsSound	(DE-627)DOAJ057703655 (DE-599)DOAJe51ba3053545490ea37ee405bb5920a8 DE-627 ger DE-627 rakwb bel eng rus QA1-939 Alexandra N. Admiralova verfasserin aut On representation varie ties of some HNN-extensions of free groups 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t\|t(x12…xg2)q›, where g ≥ 3, \|p\| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety. a group presentation a representation variety a dimension of a variety a rational variety Mathematics Valery V. Beniash-Kryvets verfasserin aut In Журнал Белорусского государственного университета: Математика, информатика Belarusian State University, 2020 (2019), 2, Seite 10-16 (DE-627)1735420964 26173956 nnns year:2019 number:2 pages:10-16 https://doaj.org/article/e51ba3053545490ea37ee405bb5920a8 kostenfrei https://journals.bsu.by/index.php/mathematics/article/view/779 kostenfrei https://doaj.org/toc/2520-6508 Journal toc kostenfrei https://doaj.org/toc/2617-3956 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2 10-16
language	Belarusian English Russian
source	In Журнал Белорусского государственного университета: Математика, информатика (2019), 2, Seite 10-16 year:2019 number:2 pages:10-16
sourceStr	In Журнал Белорусского государственного университета: Математика, информатика (2019), 2, Seite 10-16 year:2019 number:2 pages:10-16
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callnumber-first	Q - Science
author	Alexandra N. Admiralova
spellingShingle	Alexandra N. Admiralova misc QA1-939 misc a group presentation misc a representation variety misc a dimension of a variety misc a rational variety misc Mathematics On representation varie ties of some HNN-extensions of free groups
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topic_title	QA1-939 On representation varie ties of some HNN-extensions of free groups a group presentation a representation variety a dimension of a variety a rational variety
topic	misc QA1-939 misc a group presentation misc a representation variety misc a dimension of a variety misc a rational variety misc Mathematics
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title	On representation varie ties of some HNN-extensions of free groups
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title_full	On representation varie ties of some HNN-extensions of free groups
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journal	Журнал Белорусского государственного университета: Математика, информатика
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author-letter	Alexandra N. Admiralova
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title_sort	on representation varie ties of some hnn-extensions of free groups
callnumber	QA1-939
title_auth	On representation varie ties of some HNN-extensions of free groups
abstract	In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t\|t(x12…xg2)q›, where g ≥ 3, \|p\| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety.
abstractGer	In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t\|t(x12…xg2)q›, where g ≥ 3, \|p\| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety.
abstract_unstemmed	In the article we provide the description of the structure and the properties of representation varieties Rn(G(p,q)) of the groups with the presentation G(p,q) = ‹x1,…, x2, t\|t(x12…xg2)q›, where g ≥ 3, \|p\| < q ≥ 1. Irreducible components of Rn(G(p,q)) are found, their dimensions are calculated and it is proved, that every irreducible component of Rn(G(p,q)) is a rational variety.
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title_short	On representation varie ties of some HNN-extensions of free groups
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