On asphericity and the Freiheitssatz for certain finitely presented groups

S. V. Ivanov, J. C. Meakin

Research output: Contribution to journalArticle

Abstract

The classical results of Magnus on one-relator groups (such as the Freiheitssatz and the solvability of the generalized word problem for Magnus subgroups) are generalized to some finitely presented groups whose relators are constructed inductively. The diagrammatic asphericity of such group presentations is also proven.

Original languageEnglish (US)
Pages (from-to)113-121
Number of pages9
JournalJournal of Pure and Applied Algebra
Volume159
Issue number1
DOIs
StatePublished - May 8 2001

Keywords

  • 20F06
  • 20F32
  • Primary 20F05
  • Secondary 57M20

ASJC Scopus subject areas

  • Algebra and Number Theory

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