On One Property of Normal Hall Subgroups of Finite Groups

We construct infinite series of subgroup $ m $ -functors and regular subgroup $ m $ -functors $ \theta $ such that the Frattini $ \theta $ -subgroup of every normal Hall subgroup $ H $ in any finite group $ G $ is equal to the intersection of $ H $ with the Frattini $ \theta $ -subgroup of $ G $ .

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Publication Details

Journal
Siberian Mathematical Journal
Published
2025-03-01
DOI
https://doi.org/10.1134/s0037446625020065
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

On One Property of Normal Hall Subgroups of Finite Groups

Р. В. Бородич, С. Ф. Каморников, Biao Cheng, X. Yi
Siberian Mathematical Journal
Finite Group Theory Research
article

On One Property of Normal Hall Subgroups of Finite Groups

Р. В. Бородич, С. Ф. Каморников, Biao Cheng, X. Yi
article en

Abstract

We construct infinite series of subgroup $ m $ -functors and regular subgroup $ m $ -functors $ \theta $ such that the Frattini $ \theta $ -subgroup of every normal Hall subgroup $ H $ in any finite group $ G $ is equal to the intersection of $ H $ with the Frattini $ \theta $ -subgroup of $ G $ .

Siberian Mathematical JournalVol. 66(2)
Zhejiang Sci-Tech University (CN), Francisk Skorina Gomel State University (BY)
Openalex Percentile: Top 91%
Finite Group Theory Research
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