Pregroups and the big powers condition

A. V. Kvaschuk, A. G. Myasnikov, D. E. Serbin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study groups having the big powers property BP. It is proved that if a pregroup satisfies some natural axioms, then its universal group has this property. In particular, fundamental groups of some graphs of groups have the big powers property if BP holds for edge and vertex subgroups and a number of natural conditions are satisfied. The results obtained are applied to Lyndon's completions U(P)ℤ[t] of the universal group U(P) with P satisfying the conditions mentioned.

Original languageEnglish
Pages (from-to)193-213
Number of pages21
JournalAlgebra and Logic
Volume48
Issue number3
DOIs
StatePublished - Jul 2009

Keywords

  • Big powers property
  • Group
  • Pregroup
  • Universal group

Fingerprint

Dive into the research topics of 'Pregroups and the big powers condition'. Together they form a unique fingerprint.

Cite this