Publication details
Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence
Abstract
We classify principal -blocks of finite groups with Sylow -subgroups isomorphic to a wreathed -group with up to Morita equivalence and up to splendid Morita equivalence. As a consequence, we obtain that Puig’s Finiteness Conjecture holds for such blocks. Furthermore, we obtain a classification of such groups modulo , which is a purely group theoretical result and of independent interest. Methods previously applied to blocks of tame representation type are used. They are, however, further developed in order to deal with blocks of wild representation type.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Chiba University
- Type
- Article
- Journal
- Annals of Representation Theory
- Volume
- 1
- Pages
- 439-463
- No. of pages
- 25
- ISSN
- 2704-2081
- Publication date
- 2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics, Geometry and Topology, Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.5802/art.16 (Access:
Open
)
https://doi.org/10.48550/arXiv.2310.13621 (Access: Open )
