On positive theories of groups with regular free length functions

Bilal Khan, Alexei G. Myasnikov, Denis E. Serbin

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we discuss a general approach to positive theories of groups. As an application we get a robust description of positive theories of groups with regular free Lyndon length function. Our approach combines techniques of infinite words (see [17, 3]), cancellation diagrams introduced in [14], and Merzlyakov's method [15].

Original languageEnglish (US)
Pages (from-to)1-26
Number of pages26
JournalInternational Journal of Algebra and Computation
Volume17
Issue number1
DOIs
StatePublished - Feb 1 2007

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Infinite Words
Cancellation
Diagram

Keywords

  • Groups acting on lambda-trees
  • Infinite words
  • Length functions
  • Positive theory

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On positive theories of groups with regular free length functions. / Khan, Bilal; Myasnikov, Alexei G.; Serbin, Denis E.

In: International Journal of Algebra and Computation, Vol. 17, No. 1, 01.02.2007, p. 1-26.

Research output: Contribution to journalArticle

Khan, Bilal ; Myasnikov, Alexei G. ; Serbin, Denis E. / On positive theories of groups with regular free length functions. In: International Journal of Algebra and Computation. 2007 ; Vol. 17, No. 1. pp. 1-26.
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