The powerful class of Sylow subgroups of finite groups

Abstract The paper explores the effect of powerful class of Sylow p -subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the p -length of a p -solvable group in terms of the poweful class of a Sylow p -subgroup.

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Publication Details

Journal
Monatshefte für Mathematik
Published
2025-03-12
DOI
https://doi.org/10.1007/s00605-025-02067-0
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

The powerful class of Sylow subgroups of finite groups

Primož Moravec
Monatshefte für Mathematik
Finite Group Theory Research
article

The powerful class of Sylow subgroups of finite groups

Primož Moravec
article en

Abstract

Abstract The paper explores the effect of powerful class of Sylow p -subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the p -length of a p -solvable group in terms of the poweful class of a Sylow p -subgroup.

Monatshefte für Mathematik
University of Ljubljana (SI), Institute of Mathematics, Physics, and Mechanics (SI)
Openalex Percentile: Top 92%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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The powerful class of Sylow subgroups of finite groups — Primož Moravec · Monatshefte für Mathematik (2025) | TGRS Research Map | TGRS