Finite groups with some SS-supplemented subgroups
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 837-846
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A subgroup $H$ of a finite group $G$ is said to be SS-supplemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K$ is S-quasinormal in $K$. We analyze how certain properties of SS-supplemented subgroups influence the structure of finite groups. Our results improve and generalize several recent results.
DOI :
10.21136/CMJ.2021.0110-20
Classification :
20D10, 20D20
Keywords: SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup
Keywords: SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup
@article{10_21136_CMJ_2021_0110_20,
author = {Jiang, Mengling and Liu, Jianjun},
title = {Finite groups with some {SS-supplemented} subgroups},
journal = {Czechoslovak Mathematical Journal},
pages = {837--846},
publisher = {mathdoc},
volume = {71},
number = {3},
year = {2021},
doi = {10.21136/CMJ.2021.0110-20},
mrnumber = {4295249},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0110-20/}
}
TY - JOUR AU - Jiang, Mengling AU - Liu, Jianjun TI - Finite groups with some SS-supplemented subgroups JO - Czechoslovak Mathematical Journal PY - 2021 SP - 837 EP - 846 VL - 71 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0110-20/ DO - 10.21136/CMJ.2021.0110-20 LA - en ID - 10_21136_CMJ_2021_0110_20 ER -
%0 Journal Article %A Jiang, Mengling %A Liu, Jianjun %T Finite groups with some SS-supplemented subgroups %J Czechoslovak Mathematical Journal %D 2021 %P 837-846 %V 71 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0110-20/ %R 10.21136/CMJ.2021.0110-20 %G en %F 10_21136_CMJ_2021_0110_20
Jiang, Mengling; Liu, Jianjun. Finite groups with some SS-supplemented subgroups. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 837-846. doi: 10.21136/CMJ.2021.0110-20
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