English

Reading Off Kurosh Decompositions

Group Theory 2007-07-04 v2

Abstract

Geometric methods proposed by Stallings for treating finitely generated subgroups of free groups were successfully used by many authors to solve a wide collection of decision problems for free groups and their subgroups. In the present paper we employ our generalized Stallings' folding method to introduce a procedure, which given a subgroup H of a free product of finite groups reads off its Kurosh decomposition from the subgroup graph of H.

Cite

@article{arxiv.0706.0101,
  title  = {Reading Off Kurosh Decompositions},
  author = {L. Markus-Epstein},
  journal= {arXiv preprint arXiv:0706.0101},
  year   = {2007}
}
R2 v1 2026-06-21T08:34:11.035Z