Work

The powerful class of Sylow subgroups of finite groups

Year: 2025

Type: article

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.

Source: Monatshefte für Mathematik

DOI: 10.1007/s00605-025-02067-0

Author: Primož Moravec

Institutions: University of Ljubljana, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Javna Agencija za Raziskovalno Dejavnost RS