Groups with many self-normalizing subgroups
Algebra and discrete mathematics, no. 4 (2009), pp. 55-65
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This paper investigates the structure of groups in which all members of a given relevant set of subgroups are self-normalizing. In particular, soluble groups in which every non-abelian (or every infinite non-abelian) subgroup is self-normalizing are described.
Keywords:
self-normalizing subgroup, minimal non-abelian group.
@article{ADM_2009_4_a5,
author = {M. De Falco and F. de Giovanni and C. Musella},
title = {Groups with many self-normalizing subgroups},
journal = {Algebra and discrete mathematics},
pages = {55--65},
publisher = {mathdoc},
number = {4},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2009_4_a5/}
}
M. De Falco; F. de Giovanni; C. Musella. Groups with many self-normalizing subgroups. Algebra and discrete mathematics, no. 4 (2009), pp. 55-65. http://geodesic.mathdoc.fr/item/ADM_2009_4_a5/