On joins and intersections of subgroups in free groups

Research output: Contribution to journalArticlepeer-review

Abstract

We study graphs of (generalized) joins and intersections of finitely generated subgroups of a free group. We show how to disprove a lemma of Imrich and Müller on these graphs, how to repair the lemma and how to utilize it.

Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalJournal of Combinatorial Algebra
Volume2
Issue number1
DOIs
StatePublished - 2018

Keywords

  • Free groups
  • Intersections
  • Joins of subgroups
  • Stallings graphs

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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