Morita equivalence classes of 2‐blocks with abelian defect groups of rank 4-Reference-Cited by-同舟云学术

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Morita equivalence classes of 2‐blocks with abelian defect groups of rank 4

Published:2024-05-31 Issue:6 Volume:109 Page:
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:Journal of London Math Soc

Author:

Eaton Charles W.¹,Livesey Michael¹

Affiliation:

1. Department of Mathematics University of Manchester Manchester UK

Abstract

AbstractWe classify all 2‐blocks with abelian defect groups of rank 4 up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Broué's abelian defect group conjecture holds for all blocks under consideration here.

Funder

Engineering and Physical Sciences Research Council

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12943

Reference57 articles.

1. Local Methods in Block Theory

2. J.AnandC. W.Eaton Morita equivalence classes of blocks with extraspecial defect groupsp+1+2$p_+^{1+2}$ arxiv:2310.02150.

3. Morita equivalence classes of blocks with elementary abelian defect groups of order 32

4. Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64;Ardito C. G.;Tr. Inst. Mat. Mekh.,2021

5. C. G.ArditoandE.McKernon 2‐Blocks with an abelian defect group and a freely acting cyclic inertial quotient arxiv:2010.08329.

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