Congruences associated with families of nilpotent subgroups and a theorem of Hirsch

Autor: Aivazidis, Stefanos, Müller, Thomas
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: Comptes Rendus. Mathématique, Vol 361, Iss G9, Pp 1585-1592 (2023)
Druh dokumentu: article
ISSN: 1778-3569
DOI: 10.5802/crmath.514
Popis: Our main result associates a family of congruences with each suitable system of nilpotent subgroups of a finite group. Using this result, we complete and correct the proof of a theorem of Hirsch concerning the class number of a finite group of odd order.
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