Local control and Bogomolov multipliers of finite groups

Moravec, Primož (author)

We show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of class at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is locally controlled.

• Language: English
• Keywords: finite groups, Sylow subgroups, Bogomolov multipliers
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.12.2024
• Year: 2024
• Number of pages: Str. 1555–1558
• Numbering: Vol. 75, iss. 4
• PID: 20.500.12556/RUL-168784
• UDC: 512
• ISSN on article: 0033-5606
• DOI: 10.1093/qmath/haae058
• COBISS.SI-ID: 234131715
• Publication date in RUL: 24.04.2025

Record is a part of a journal

• Title: Quarterly Journal of Mathematics
• Shortened title: Q. J. Math.
• Publisher: Oxford University Press
• ISSN: 0033-5606
• COBISS.SI-ID: 26226176

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.