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A Nine-Dimensional Algebra which is not a Block of a Finite Group

Linckelmann, M. & Murphy, W. (2021). A Nine-Dimensional Algebra which is not a Block of a Finite Group. Quarterly Journal of Mathematics, 72(3), pp. 1077-1088. doi: 10.1093/qmath/haaa061

Abstract

We rule out a certain nine-dimensional algebra over an algebraically closed field to be the basic algebra of a block of a finite group, thereby completing the classification of basic algebras of dimension at most 12 of blocks of finite group algebras.

Publication Type: Article
Additional Information: This is a pre-copyedited, author-produced version of an article accepted for publication in Quarterly Journal of Mathematics following peer review. The version of record Markus Linckelmann, William Murphy, A Nine-Dimensional Algebra which is not a Block of a Finite Group, The Quarterly Journal of Mathematics, Volume 72, Issue 3, September 2021, Pages 1077–1088, is available online at: https://doi.org/10.1093/qmath/haaa061.
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
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