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An extension of Gow's theorem

Group Theory 2025-05-28 v1

Abstract

We extend Gow's theorem on products of semisimple regular conjugacy classes to finite groups whose generalized Fitting subgroup is Z(G)S where S is a quasisimple group of Lie type in characteristic p and Z(G) has order prime to p.

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Cite

@article{arxiv.2404.05986,
  title  = {An extension of Gow's theorem},
  author = {Robert M. Guralnick and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:2404.05986},
  year   = {2025}
}

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7 pages