On the asphericity of LOT-presentations of groups

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Abstract

Let U be an arbitrary word in letters x1±1, . . . , xm±1 and m ≥ 2. We prove that the group presentation 〈x1, . . . , xm || UxiU -1 = xi+1, i = 1 , . . . , m - 1〉 is aspherical. The proof is based upon prior partial results of A. Klyachko and the author on the asphericity of such presentations.

Original languageEnglish (US)
Pages (from-to)135-138
Number of pages4
JournalJournal of Group Theory
Volume8
Issue number1
DOIs
StatePublished - Jan 2005

ASJC Scopus subject areas

  • Algebra and Number Theory

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