A characterization for induced modules to be support τ-tilting modules

2023/02/16 by Koshio, Ryotaro, Kozakai, Yuta
#16G10 #20C20 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2302.08109

Abstract

Let G be a finite group and G a normal subgroup of G. In this paper, we give a necessary and sufficient condition for Ind_G^GM to be a support τ-tilting kG-module for a kG-module M. Moreover, we give the block version of the result.

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