Reading off Kurosh decompositions

L. Markus-Epstein*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume18
Issue number6
DOIs
StatePublished - Sep 2008
Externally publishedYes

Funding

FundersFunder number
European Commission
Technion-Israel Institute of Technology
Planning and Budgeting Committee of the Council for Higher Education of Israel

    Keywords

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

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