On joins and intersections of subgroups in free groups

Sergei V. Ivanov

doi:10.4171/jca/2-1-1

JournalsjcaVol. 2, No. 1pp. 1–18

On joins and intersections of subgroups in free groups

Sergei V. Ivanov
University of Illinois, Urbana, USA
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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.

Cite this article

Sergei V. Ivanov, On joins and intersections of subgroups in free groups. J. Comb. Algebra 2 (2018), no. 1, pp. 1–18

DOI 10.4171/JCA/2-1-1