English

The Grushko decomposition of a finite graph of finite rank free groups: an algorithm

Group Theory 2014-11-11 v1

Abstract

A finitely generated group admits a decomposition, called its Grushko decomposition, into a free product of freely indecomposable groups. There is an algorithm to construct the Grushko decomposition of a finite graph of finite rank free groups. In particular, it is possible to decide if such a group is free.

Keywords

Cite

@article{arxiv.math/0510198,
  title  = {The Grushko decomposition of a finite graph of finite rank free groups: an algorithm},
  author = {Guo-An Diao and Mark Feighn},
  journal= {arXiv preprint arXiv:math/0510198},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper41.abs.html