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 -manifold groups are malnormal.
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DOI : 10.5802/cml.13
Mots-clés : Malnormal subgroup, infinite permutation group, Frobenius group, knot group, peripheral subgroup, almost nalmornal subgroup.
@article{CML_2014__6_1_65_0,
author = {de la Harpe, Pierre and Weber, Claude},
title = {Malnormal subgroups and {Frobenius} groups: basics and examples},
journal = {Confluentes Mathematici},
pages = {65--77},
publisher = {Institut Camille Jordan},
volume = {6},
number = {1},
year = {2014},
doi = {10.5802/cml.13},
mrnumber = {3266885},
zbl = {1327.20030},
language = {en},
url = {http://www.numdam.org/articles/10.5802/cml.13/}
}
TY - JOUR AU - de la Harpe, Pierre AU - Weber, Claude TI - Malnormal subgroups and Frobenius groups: basics and examples JO - Confluentes Mathematici PY - 2014 SP - 65 EP - 77 VL - 6 IS - 1 PB - Institut Camille Jordan UR - http://www.numdam.org/articles/10.5802/cml.13/ DO - 10.5802/cml.13 LA - en ID - CML_2014__6_1_65_0 ER -
%0 Journal Article %A de la Harpe, Pierre %A Weber, Claude %T Malnormal subgroups and Frobenius groups: basics and examples %J Confluentes Mathematici %D 2014 %P 65-77 %V 6 %N 1 %I Institut Camille Jordan %U http://www.numdam.org/articles/10.5802/cml.13/ %R 10.5802/cml.13 %G en %F CML_2014__6_1_65_0
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. http://www.numdam.org/articles/10.5802/cml.13/
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