Non-orientable surface-plus-one-relation groups

Yago Antolín, Warren Dicks, Peter A. Linnell

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

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. © 2009 Elsevier Inc.
Original languageEnglish
Pages (from-to)4-33
JournalJournal of Algebra
Volume326
Issue number1
DOIs
Publication statusPublished - 15 Jan 2011

Keywords

  • L2-Betti number
  • Surface-plus-one-relation group

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