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) |
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Pages (from-to) | 1-26 |
Number of pages | 26 |
Journal | International Journal of Algebra and Computation |
Volume | 17 |
Issue number | 1 |
DOIs | |
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)