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Congruences associated with families of nilpotent subgroups and a theorem of Hirsch
- Source :
- Comptes Rendus. Mathématique, Vol 361, Iss G9, Pp 1585-1592 (2023)
- Publication Year :
- 2023
- Publisher :
- Académie des sciences, 2023.
-
Abstract
- 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.
- Subjects :
- Nilpotent systems of subgroups
congruences
Mathematics
QA1-939
Subjects
Details
- Language :
- English, French
- ISSN :
- 17783569
- Volume :
- 361
- Issue :
- G9
- Database :
- Directory of Open Access Journals
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2415963baf8340abb5c6286aad877f34
- Document Type :
- article
- Full Text :
- https://doi.org/10.5802/crmath.514