Equations and fully residually free groups

Olga Kharlampovich, Alexei G. Myasnikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

13 Scopus citations

Abstract

This paper represents notes of the mini-courses given by the authors at the GCGTA conference in Dortmund (2007), Ottawa-Saint Sauveur conference (2007), Escola d'Algebra in Rio de Janeiro (2008) and Alagna (Italy, 2008) conference on equations in groups. We explain here the Elimination process for solving equations in a free group which has Makanin-Razborov process as a prototype. We also explain how we use this process to obtain the structure theorem for finitely generated fully residually free groups and many other results.

Original languageEnglish
Title of host publicationCombinatorial and Geometric Group Theory
EditorsOleg Bogopolski, Inna Bumagin, Olga Kharlampovich, Enric Ventura
Pages203-242
Number of pages40
DOIs
StatePublished - 2010
EventInternational Conference on Combinatorial and Geometric Group Theory with Applications, GAGTA 2007 - Dortmund, Germany
Duration: 27 Aug 200731 Aug 2007

Publication series

NameTrends in Mathematics
Volume47
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Conference

ConferenceInternational Conference on Combinatorial and Geometric Group Theory with Applications, GAGTA 2007
Country/TerritoryGermany
CityDortmund
Period27/08/0731/08/07

Keywords

  • Equations
  • Free groups

Fingerprint

Dive into the research topics of 'Equations and fully residually free groups'. Together they form a unique fingerprint.

Cite this