Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups

Changwen Li. "Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups." Bulletin of the Polish Academy of Sciences. Mathematics 59.1 (2011): 41-52. <http://eudml.org/doc/281204>.

@article{ChangwenLi2011,
abstract = {Suppose G is a finite group and H is a subgroup of G. H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup $H_\{se\}$ of G contained in H such that G = HT and $H ∩ T ≤ H_\{se\}$; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and $H ∩ T ≤ H_\{sG\}$, where $H_\{sG\}$ is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of the existence of s-permutably embedded and weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized.},
author = {Changwen Li},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {finite groups; supersoluble groups; -nilpotent groups; weakly permutably embedded subgroups; weakly supplemented subgroups; Sylow subgroups; subnormal subgroups},
language = {eng},
number = {1},
pages = {41-52},
title = {Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups},
url = {http://eudml.org/doc/281204},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Changwen Li
TI - Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 1
SP - 41
EP - 52
AB - Suppose G is a finite group and H is a subgroup of G. H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup $H_{se}$ of G contained in H such that G = HT and $H ∩ T ≤ H_{se}$; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and $H ∩ T ≤ H_{sG}$, where $H_{sG}$ is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of the existence of s-permutably embedded and weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized.
LA - eng
KW - finite groups; supersoluble groups; -nilpotent groups; weakly permutably embedded subgroups; weakly supplemented subgroups; Sylow subgroups; subnormal subgroups
UR - http://eudml.org/doc/281204
ER -