The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.
@article{urn:eudml:doc:41745,
title = {The determination of abelian Hall subgroups by a conjugacy class structure.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {685-691},
mrnumber = {MR1209833},
zbl = {0827.20025},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41745}
}
Kimmerle, Wolfgang; Sandling, Robert. The determination of abelian Hall subgroups by a conjugacy class structure.. Publicacions Matemàtiques, Tome 36 (1992) pp. 685-691. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41745/