Separable commutative rings in the stable module category of cyclic groups

Abstract

We prove that the only separable commutative ring-objects in the stable module category of a finite cyclic p-group G are the ones corresponding to subgroups of G. We also describe the tensor-closure of the Kelly radical of the module category and of the stable module category of any finite group.

19 pages, minor modifications following refereeing

References in corpus (1)

• Stacks of group representations

Cited by in corpus (2)

• A characterization of finite étale morphisms in tensor triangular geometry
• Separable commutative algebras and Galois theory in stable homotopy theories