The powerful class of groups

Moravec, Primož (author)

Pro‐$p$ groups of finite powerful class are studied. We prove that these are $p$‐adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite $p$‐groups of fixed coclass and powerful class.

• Language: English
• Keywords: finite $p$-group, powerful class, pro-$p$ group
• 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: 2024
• Number of pages: Str. 1221-1229
• Numbering: Vol. 297, iss. 4
• PID: 20.500.12556/RUL-159138
• UDC: 512
• ISSN on article: 0025-584X
• DOI: 10.1002/mana.202300141
• COBISS.SI-ID: 200337155
• Publication date in RUL: 01.07.2024

Record is a part of a journal

• Title: Mathematische Nachrichten
• Shortened title: Math. Nachr.
• Publisher: Wiley
• ISSN: 0025-584X
• COBISS.SI-ID: 25915392

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.