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arXiv · 2303.06011

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

Geoffrey R. Robinson
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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 ${\rm GL}(n,\mathbb{C})$ with restricted composition factors (as usual, modulo Abelian normal subgroups). We place the question in a wider context, and find other applications.

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Geoffrey R. Robinson. 2023-03-10. Bounding the order of complex linear groups and permutation groups with selected composition factors. https://arxiv.org/abs/2303.06011

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