Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence

verfasst von

Shigeo Koshitani, Caroline Lassueur, Benjamin Sambale

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Chiba University

Typ

Artikel

Journal

Annals of Representation Theory

Band

1

Seiten

439-463

Anzahl der Seiten

24

ISSN

2704-2081

Publikationsdatum

03.10.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Peer-reviewed

Ja

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2310.13621 (Zugang: Offen)
https://doi.org/10.5802/art.16 (Zugang: Offen)