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A block theoretic proof of Thompson’s A× B -lemma

Kessar, R ORCID: 0000-0002-1893-4237 & Linckelmann, M. (2021). A block theoretic proof of Thompson’s A× B -lemma. Archiv der Mathematik, 117, pp. 481-483. doi: 10.1007/s00013-021-01638-5

Abstract

We show that Thompson’s A× B-lemma can be obtained as a consequence of Brauer’s third main theorem.

Publication Type: Article
Additional Information: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Publisher Keywords: Finite group, Automorphism, Group algebra, Block
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
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