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

Department of Mathematical Sciences

City University of New York

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

6 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
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

Keywords

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

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10.1142/S0218196707003330

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title = "On positive theories of groups with regular free length functions",

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].",

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AU - Myasnikov, Alexei G.

AU - Serbin, Denis E.

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N2 - 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].

AB - 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].

KW - Groups acting on lambda-trees

KW - Infinite words

KW - Length functions

KW - Positive theory

UR - https://www.scopus.com/pages/publications/33847677270

UR - https://www.scopus.com/pages/publications/33847677270#tab=citedBy

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DO - 10.1142/S0218196707003330

M3 - Article

AN - SCOPUS:33847677270

SN - 0218-1967

VL - 17

SP - 1

EP - 26

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 1

ER -

On positive theories of groups with regular free length functions

Abstract

Keywords

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