Groups with relatively small normalizers of primary subgroups
Algebra i logika, Tome 51 (2012) no. 5, pp. 565-578
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The structure of finite groups $G$ is studied in which for every primary subgroup $A$, almost all of its automorphisms induced by elements of $G$ are inner. Namely, for any such subgroup, the index $|N(A):A\cdot C(A)|$ divides some prime number. These groups are called $NSP$-groups.
Keywords:
finite group, inner automorphism
Mots-clés : $NSP$-group.
Mots-clés : $NSP$-group.
@article{AL_2012_51_5_a0,
author = {V. A. Antonov},
title = {Groups with relatively small normalizers of primary subgroups},
journal = {Algebra i logika},
pages = {565--578},
publisher = {mathdoc},
volume = {51},
number = {5},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2012_51_5_a0/}
}
V. A. Antonov. Groups with relatively small normalizers of primary subgroups. Algebra i logika, Tome 51 (2012) no. 5, pp. 565-578. http://geodesic.mathdoc.fr/item/AL_2012_51_5_a0/