English

Bounding the order of complex linear groups and permutation groups with selected composition factors

Group Theory 2023-10-03 v7

Abstract

Originally motivated by questions of P. Etingof related to growth rates of tensor powers in symmetric tensor categories, we obtain general bounds on the order of finite subgroups of GL(n,C){\rm GL}(n,\mathbb{C}) with restricted composition factors (as usual, modulo Abelian normal subgroups). We place the question in a wider context, and find other applications.

Keywords

Cite

@article{arxiv.2303.06011,
  title  = {Bounding the order of complex linear groups and permutation groups with selected composition factors},
  author = {Geoffrey R. Robinson},
  journal= {arXiv preprint arXiv:2303.06011},
  year   = {2023}
}

Comments

Corrects a few typographical errors in previous version, and removes an imprimitive case

R2 v1 2026-06-28T09:11:25.114Z