Finite groups with some SS-supplemented subgroups

Mengling Jiang; Jianjun Liu

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 3, page 837-846
  • ISSN: 0011-4642

Abstract

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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 = H K and H ∩ 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.

How to cite

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Jiang, Mengling, and Liu, Jianjun. "Finite groups with some SS-supplemented subgroups." Czechoslovak Mathematical Journal 71.3 (2021): 837-846. <http://eudml.org/doc/297759>.

@article{Jiang2021,
abstract = {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.},
author = {Jiang, Mengling, Liu, Jianjun},
journal = {Czechoslovak Mathematical Journal},
keywords = {SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup},
language = {eng},
number = {3},
pages = {837-846},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite groups with some SS-supplemented subgroups},
url = {http://eudml.org/doc/297759},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Jiang, Mengling
AU - Liu, Jianjun
TI - Finite groups with some SS-supplemented subgroups
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 3
SP - 837
EP - 846
AB - 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.
LA - eng
KW - SS-supplemented subgroup; maximal subgroup; solvable group; minimal subgroup
UR - http://eudml.org/doc/297759
ER -

References

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