A Generalization of Quasi-Hamiltonian Groups
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 829-842
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Iwasawa classifies finite groups G in which all subgroups V are per- mutable, that is UV =VU for all subgroups U of G. These groups are called quasi- hamiltonian. We classify the finite groups whose non-permutable subgroups have the same order and the ones which have a single conjugacy class of non-permutable sub-groups.
@article{BUMI_2007_8_10B_3_a25,
author = {Crestani, Eleonora},
title = {A {Generalization} of {Quasi-Hamiltonian} {Groups}},
journal = {Bollettino della Unione matematica italiana},
pages = {829--842},
publisher = {mathdoc},
volume = {Ser. 8, 10B},
number = {3},
year = {2007},
zbl = {1184.20020},
mrnumber = {2507899},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a25/}
}
Crestani, Eleonora. A Generalization of Quasi-Hamiltonian Groups. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 829-842. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a25/