Reading off Kurosh decompositions

L. Markus-Epstein*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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

Original languageEnglish
Pages (from-to)1117-1136
Number of pages20
JournalInternational Journal of Algebra and Computation
Issue number6
StatePublished - Sep 2008
Externally publishedYes


  • Decision problems
  • Free products
  • Kurosh subgroup theorem
  • Labeled graphs
  • Subgroups


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