English

Fusion Systems on a Sylow $p$-subgroup of $\mathrm{G}_2(p^n)$ or $\mathrm{PSU}_4(p^n)$

Group Theory 2021-08-27 v1

Abstract

For any prime pp and SS a pp-group isomorphic to a Sylow pp-subgroup of G2(pn)\mathrm{G}_2(p^n) or PSU4(pn)\mathrm{PSU}_4(p^n) with nNn\in\mathbb{N}, we determine all saturated fusion systems supported on SS up to isomorphism.

Keywords

Cite

@article{arxiv.2108.11691,
  title  = {Fusion Systems on a Sylow $p$-subgroup of $\mathrm{G}_2(p^n)$ or $\mathrm{PSU}_4(p^n)$},
  author = {Martin van Beek},
  journal= {arXiv preprint arXiv:2108.11691},
  year   = {2021}
}