Non-orientable surface-plus-one-relation groups

Yago Antolín; Warren Dicks; Peter A. Linnell

doi:10.1016/j.jalgebra.2009.03.001

Non-orientable surface-plus-one-relation groups

Yago Antolín, Warren Dicks, Peter A. Linnell

Departament de Matemàtiques

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Resum

Recently Dicks-Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation groups. © 2009 Elsevier Inc.

Idioma original	Anglès
Pàgines (de-a)	4-33
Revista	Journal of Algebra
Volum	326
Número	1
DOIs	https://doi.org/10.1016/j.jalgebra.2009.03.001
Estat de la publicació	Publicada - 15 de gen. 2011

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10.1016/j.jalgebra.2009.03.001

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title = "Non-orientable surface-plus-one-relation groups",

abstract = "Recently Dicks-Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation groups. {\textcopyright} 2009 Elsevier Inc.",

keywords = "L2-Betti number, Surface-plus-one-relation group",

author = "Yago Antol{\'i}n and Warren Dicks and Linnell, {Peter A.}",

year = "2011",

month = jan,

day = "15",

doi = "10.1016/j.jalgebra.2009.03.001",

language = "English",

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journal = "Journal of Algebra",

issn = "0021-8693",

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T1 - Non-orientable surface-plus-one-relation groups

AU - Antolín, Yago

AU - Dicks, Warren

AU - Linnell, Peter A.

PY - 2011/1/15

Y1 - 2011/1/15

N2 - Recently Dicks-Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation groups. © 2009 Elsevier Inc.

AB - Recently Dicks-Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation groups. © 2009 Elsevier Inc.

KW - L2-Betti number

KW - Surface-plus-one-relation group

U2 - 10.1016/j.jalgebra.2009.03.001

DO - 10.1016/j.jalgebra.2009.03.001

M3 - Article

SN - 0021-8693

VL - 326

SP - 4

EP - 33

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Non-orientable surface-plus-one-relation groups

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