On the permutability of maximal subgroups with Schmidt subgroups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 126-133
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A Schmidt group is a finite nonnilpotent group in which every proper subgroup is nilpotent. We establish sufficient conditions for the $p$-solvability of a finite group in which maximal subgroups permute with some Schmidt subgroups.
Keywords:
finite group, Schmidt subgroup, permutable subgroups.
Mots-clés : solvable group
Mots-clés : solvable group
@article{TIMM_2011_17_4_a13,
author = {V. N. Knyagina and V. S. Monakhov},
title = {On the permutability of maximal subgroups with {Schmidt} subgroups},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {126--133},
publisher = {mathdoc},
volume = {17},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a13/}
}
TY - JOUR AU - V. N. Knyagina AU - V. S. Monakhov TI - On the permutability of maximal subgroups with Schmidt subgroups JO - Trudy Instituta matematiki i mehaniki PY - 2011 SP - 126 EP - 133 VL - 17 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a13/ LA - ru ID - TIMM_2011_17_4_a13 ER -
V. N. Knyagina; V. S. Monakhov. On the permutability of maximal subgroups with Schmidt subgroups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 126-133. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a13/