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On the solvability of the Lie algebra HH1(B) for blocks of finite groups

Linckelmann, M. & Wang, J. ORCID: 0000-0002-1872-6518 (2025). On the solvability of the Lie algebra HH1(B) for blocks of finite groups. Journal of the London Mathematical Society, 112(6), article number e70407. doi: 10.1112/jlms.70407

Abstract

We give some criteria for the Lie algebra to be solvable, where B is a ‐block of a finite group algebra, in terms of the action of an inertial quotient of B on a defect group of B.

Publication Type: Article
Additional Information: © 2025 The Author(s). The Journal of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology
School of Science & Technology > Department of Mathematics
SWORD Depositor:
[thumbnail of Journal of London Math Soc - 2025 - Linckelmann - On the solvability of the Lie algebra HH1 B mathrm HH 1 B for blocks.pdf]
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