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Simple modules in the Auslander-Reiten quiver of principal blocks

Oberseminar zur Algebra und Algebraischen Kombinatorik, 22.01.2018

Description

The aim of this talk is to come back to the question of whether simple modules in wild blocks should lie on the rim of their connected component in the stable Auslander-Reiten quiver of a group algebra over an algebraically closed field of characteristic p>0. The answer is known to be affirmative for several classes of groups, as for instance p-solvable groups, groups of Lie type in their natural characteristic, groups with a normal p-subgroup, or (double covers of) symmetric or alternating groups under mild restrictions. In this talk we focus on the situation for principal blocks with abelian defect groups through a reduction to finite simple groups. This is joint work with Shigeo Koshitani.


Url http://www.iazd.uni-hannover.de/oberseminar.html
Speaker

Jun. Prof. Dr. Caroline Lassueur
(TU Kaiserslautern)

Organiser

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Date 22.01.2018
14:15 o'clock - 15:45 o'clock
Institut für Algebra, Zahlentheorie und Diskrete Mathematik (IAZD)
Welfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-dmath.uni-hannover.de
Location Hauptgebäude, Building: 1101
Room: a410
Welfengarten 1
30167 Hannover