Malnormal subgroups and Frobenius groups: basics and examples

2011/04/15 by Pierre de la Harpe, de la Harpe, Pierre, Claude Weber +3
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1104.3065

arxiv created 2011/04/15 · arxiv updated 2011/04/18

Abstract

Malnormal subgroups occur in various contexts. We review a large number of examples, and we compare the situation in this generality to that of finite Frobenius groups of permutations. In a companion paper [HaWe], we analyse when peripheral subgroups of knot groups and 3-manifold groups are malnormal.

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