Geodesic
Malnormal subgroups and Frobenius groups: basics and examples
de la Harpe, Pierre1 ; Weber, Claude1
1 Section de mathématiques, Université de Genève, C.P. 64, CH–1211 Genève 4, Suisse
Confluentes Mathematici, Tome 6 (2014) no. 1, pp. 65-77

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Malnormal subgroups occur in various contexts. We review a large number of examples, and compare the general situation to that of finite Frobenius groups of permutations.

In a companion paper [18], we analyse when peripheral subgroups of knot groups and 3-manifold groups are malnormal.

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DOI : 10.5802/cml.13
Classification : 20B07, 20B05
Keywords: Malnormal subgroup, infinite permutation group, Frobenius group, knot group, peripheral subgroup, almost nalmornal subgroup.

de la Harpe, Pierre 1 ; Weber, Claude 1

1 Section de mathématiques, Université de Genève, C.P. 64, CH–1211 Genève 4, Suisse 
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de la Harpe, Pierre; Weber, Claude. Malnormal subgroups and Frobenius groups: basics and examples. Confluentes Mathematici, Tome 6 (2014) no. 1, pp. 65-77. doi: 10.5802/cml.13

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