On positive theories of groups with regular free length functions

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

doi:10.1142/S0218196707003330

On positive theories of groups with regular free length functions

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

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	1-26
Number of pages	26
Journal	International Journal of Algebra and Computation
Volume	17
Issue number	1
DOIs	https://doi.org/10.1142/S0218196707003330
State	Published - Feb 2007
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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