English

Fusion systems on a Sylow $p$-subgroup of $SU_4(p)$

Group Theory 2021-10-05 v2

Abstract

We determine, for pp odd, all saturated fusion systems on a Sylow pp-subgroup SS of the unitary group SU4(p)SU_4(p) and we prove that they are all realizable by finite groups. In particular, we prove that SS does not support any exotic fusion systems.

Keywords

Cite

@article{arxiv.2003.04842,
  title  = {Fusion systems on a Sylow $p$-subgroup of $SU_4(p)$},
  author = {Raul Moragues Moncho},
  journal= {arXiv preprint arXiv:2003.04842},
  year   = {2021}
}

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17 pages