Group graded Morita equivalences for wreath products

Autor: Minuta, Virgilius-Aurelian

Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.

Externí odkaz: http://arxiv.org/abs/2007.07526

On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture

Autor: Kessar, Radha

Using a stable equivalence due to Rouquier, we prove that Broue's abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules. The proof makes use of the fact, also due to

Externí odkaz: http://arxiv.org/abs/1012.0534

Donovan's conjecture and blocks with abelian defect groups

Autor: Charles B. Eaton, Michael Livesey

Publikováno v: Eaton, C & Livesey, M 2019, ' Donovan's conjecture and blocks with abelian defect groups ', Proceedings of the American Mathematical Society, vol. 147, no. 3, pp. 963-970 . https://doi.org/10.1090/proc/14316

We give a reduction of Donovan's conjecture for abelian groups to a similar statement for quasisimple groups. Consequently we show that Donovan's conjecture holds for abelian $2$-groups.
arXiv admin note: text overlap with arXiv:1711.05357

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be54ba0983166fc9b4cd8795ff1fd3a7
http://arxiv.org/abs/1803.03539