Separable commutative rings in the stable module category of cyclic groups
Representation Theory
2024-09-10 v2 Category Theory
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.
Keywords
Cite
@article{arxiv.1703.10942,
title = {Separable commutative rings in the stable module category of cyclic groups},
author = {Paul Balmer and Jon F. Carlson},
journal= {arXiv preprint arXiv:1703.10942},
year = {2024}
}
Comments
19 pages, minor modifications following refereeing