On finite groups in which every maximal subgroup of order divisible by $p$ is $p$-decomposable

We obtain a complete classification of a finite group $G$ in which every maximal subgroup of order divisible by $p$ is $p$-decomposable for a given prime divisor $p$ of |$G$| and our results generalize a recent result of Shi and Tian.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-06-24
DOI
https://doi.org/10.15672/hujms.1577338
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

On finite groups in which every maximal subgroup of order divisible by $p$ is $p$-decomposable

Shenghui Tao, Qianqian Wang
Hacettepe Journal of Mathematics and Statistics
Finite Group Theory Research
article

On finite groups in which every maximal subgroup of order divisible by $p$ is $p$-decomposable

Shenghui Tao, Qianqian Wang
article en

Abstract

We obtain a complete classification of a finite group $G$ in which every maximal subgroup of order divisible by $p$ is $p$-decomposable for a given prime divisor $p$ of |$G$| and our results generalize a recent result of Shi and Tian.

Hacettepe Journal of Mathematics and StatisticsVol. 54(5)
Nanjing University of Posts and Telecommunications (CN)
Openalex Percentile: Top 79%
Finite Group Theory Research
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On finite groups in which every maximal subgroup of order divisible by $p$ is $p$-decomposable — Shenghui Tao, Qianqian Wang · Hacettepe Journal of Mathematics and Statistics (2025) | TGRS Research Map | TGRS