|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
On the analog category
of finite groups
Ben Knudsen and Shmuel Weinberger |
|
Algebraic & Geometric Topology 26 (2026) 1585–1596
|
|
DOI: 10.2140/agt.2026.26.1585
|
 |
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. |
Keywords
Lusternik–Schnirelmann category, topological robotics,
equivariant topology
|
Mathematical Subject Classification
Primary: 55M30
|
References |
Publication
Received: 27 November 2024
Revised: 24 February 2025
Accepted: 18 March 2025
Published: 25 April 2026
|
Authors |
| Ben Knudsen | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
|
| Shmuel Weinberger | |
| Department of Mathematics University of Chicago Chicago, IL United States |
|
| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
