The powerful class of Sylow subgroups of finite groups

Moravec, Primož (author)

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.

• Language: English
• Keywords: powerful class, transfer, fusion, p-solvable groups
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: Str. 301-307
• Numbering: Vol. 207, iss. 2
• PID: 20.500.12556/RUL-169142
• UDC: 512
• ISSN on article: 0026-9255
• DOI: 10.1007/s00605-025-02067-0
• COBISS.SI-ID: 229500419
• Publication date in RUL: 14.05.2025

Record is a part of a journal

• Title: Monatshefte für Mathematik
• Shortened title: Monatsh. Math.
• Publisher: Springer Nature
• ISSN: 0026-9255
• COBISS.SI-ID: 25976320

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.