Stratification and π-cosupport: Finite groups

2015/05/25 by Benson, Dave, Iyengar, Srikanth B., Krause, Henning +1 · 1 citation
#16G10 (primary) #20C20 #20G10 #20J06 (secondary) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1505.06628

Abstract

We introduce the notion of π-cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal localising subcategories. In a sequel to this paper, we carry out the corresponding classification for finite group schemes.

Cited by

• Monoidal model structures over infinite groups

Related

• Stratification for module categories of finite group schemes
• Stratifying modular representations of finite groups
• (Co)stratification of stable categories for infinite groups
• Stratifying integral representations of finite groups
• Stratification and duality for unipotent finite supergroup schemes