Block-exoticity of reduction simple fusion systems on $S(n,p)$

Jun Liao; Yikun Liu

Block-exoticity of reduction simple fusion systems on $S(n,p)$

Representation Theory 2026-07-11 v1 Group Theory

Authors: Jun Liao , Yikun Liu

Abstract

In this paper, we prove that for $p\geq 13$ and $5\leq n\leq p-3$ , every reduction simple fusion system on the finite $p$ -group $S(n,p)$ is block-exotic. Furthermore, we establish the block-exoticity of three infinite families of reduction simple exotic fusion systems.

Keywords

fusion systems block-exotic reduction simple S(n,p) p-groups

Cite

@article{arxiv.2607.10264,
  title  = {Block-exoticity of reduction simple fusion systems on $S(n,p)$},
  author = {Jun Liao and Yikun Liu},
  journal= {arXiv preprint arXiv:2607.10264},
  year   = {2026}
}

Comments

11 pages