Finite-dimensional algebras not arising as blocks of group algebras

Dave Benson; Benjamin Sambale

doi:10.1515/forum-2023-0037

Finite-dimensional algebras not arising as blocks of group algebras

Dave Benson
, Benjamin Sambale^*

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

University of Aberdeen

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Abstract

We develop new techniques to classify basic algebras of blocks of finite groups over algebraically closed fields of prime characteristic. We apply these techniques to simplify and extend previous classifications by Linckelmann, Murphy and Sambale. In particular, we fully classify blocks with 16-dimensional basic algebra.

Originalsprache	Englisch
Fachzeitschrift	Forum mathematicum
Jahrgang	36
Ausgabenummer	2
Elektronisch veröffentlicht (E-Pub)	1 Juni 2023
DOIs	https://doi.org/10.1515/forum-2023-0037
Publikationsstatus	Veröffentlicht - 1 März 2024

ASJC Scopus Sachgebiete

Allgemeine Mathematik
Angewandte Mathematik

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10.1515/forum-2023-0037

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