On the analog category of finite groups
Algebraic Topology
2026-05-06 v2 Group Theory
Abstract
We show that the analog category of a finite group is essentially proportional to the size of its largest Sylow subgroup. We conclude that the universal upper bound given by the order of the group is very far from optimal.
Cite
@article{arxiv.2411.14958,
title = {On the analog category of finite groups},
author = {Ben Knudsen and Shmuel Weinberger},
journal= {arXiv preprint arXiv:2411.14958},
year = {2026}
}
Comments
12 pages. To appear in Algebraic and Geometric Topology