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On Alperin's lower bound for the number of Brauer Characters

  • We prove that the number of conjugacy classes of a finite group G consisting of elements of odd order, is larger than or equal to that number for the normaliser of a Sylow 2-subgroup of G. This is predicted by the Alperin Weight Conjecture.

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Metadaten
Author:Gunter Malle, Gabriel Navarro, Pham Huu Tiep
URN:urn:nbn:de:hbz:386-kluedo-78896
DOI:https://doi.org/10.1007/s00031-022-09734-8
ISSN:1531-586X
Parent Title (English):Transformation Groups
Publisher:Springer Nature - Springer
Document Type:Article
Language of publication:English
Date of Publication (online):2024/03/26
Year of first Publication:2022
Publishing Institution:Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Date of the Publication (Server):2024/03/26
Issue:28
Page Number:16
First Page:1205
Last Page:1220
Source:https://link.springer.com/article/10.1007/s00031-022-09734-8
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Collections:Open-Access-Publikationsfonds
Licence (German):Zweitveröffentlichung