arXiv Analytics

Sign in

arXiv:2301.10537 [math.RT]AbstractReferencesReviewsResources

Finite dimensional algebras not arising as blocks of group algebras

Dave Benson, Benjamin Sambale

Published 2023-01-25Version 1

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.

Comments: 17 pages
Categories: math.RT, math.GR
Related articles: Most relevant | Search more
arXiv:math/0001119 [math.RT] (Published 2000-01-22)
Finite groups with the same character tables, Drinfel'd algebras and Galois algebras
arXiv:math/0603356 [math.RT] (Published 2006-03-15)
Derived equivalences and finite dimensional algebras
arXiv:1110.0228 [math.RT] (Published 2011-10-02, updated 2011-12-14)
Second cohomology for finite groups of Lie type
Brian D. Boe et al.

Links

Toolbox