Endotrivial modules for cyclic $p$-groups and generalized quaternion groups via Galois descent

Jeroen van der Meer, Richard T. Wong

Publication date: 13 July 2021

Abstract: In this paper, we investigate the group of endotrivial modules for certain

p

-groups. Such groups were already been computed by Carlson-Th'evenaz using the theory of support varieties; however, we provide novel homotopical proofs of their results for cyclic

p

-groups, the quaternion group of order 8, and for generalized quaternion groups using Galois descent and Picard spectral sequences, building on results of Mathew and Stojanoska. Our computations provide conceptual insights into the classical work of Carlson-Th'evenaz.

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Connections of group theory with homological algebra and category theory (20J99) Spectral sequences in algebraic topology (55T99)

This page was built for publication: Endotrivial modules for cyclic $p$-groups and generalized quaternion groups via Galois descent

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6372707)