On the analog category of finite groups

Fuente: arXiv
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Hauptverfasser: Knudsen, Ben, Weinberger, Shmuel
Format: Preprint
Veröffentlicht: 2024
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author Knudsen, Ben
Weinberger, Shmuel
author_facet Knudsen, Ben
Weinberger, Shmuel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_14958
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the analog category of finite groups
Knudsen, Ben
Weinberger, Shmuel
Algebraic Topology
Group Theory
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.
title On the analog category of finite groups
topic Algebraic Topology
Group Theory
url https://arxiv.org/abs/2411.14958