Counting conjugacy classes of elements of finite order in p-compact groups
Algebraic Topology
2025-10-14 v1 Group Theory
Abstract
We express the set of representations from a cyclic -group to a connected -compact group in terms of the associated reflection group and compute its cardinality for each exotic -compact group.
Cite
@article{arxiv.2510.11069,
title = {Counting conjugacy classes of elements of finite order in p-compact groups},
author = {José Cantarero and Bernardo Villarreal},
journal= {arXiv preprint arXiv:2510.11069},
year = {2025}
}
Comments
37 pages. There is an associated ancillary file with GAP code. Comments are welcome