City Research Online

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 Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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