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arXiv · 2410.15348

The powerful class of Sylow subgroups of finite groups

Primoz Moravec
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Abstract

The paper explores the effect of powerful class of Sylow $p$-subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the $p$-length of a $p$-solvable group in terms of the poweful class of a Sylow $p$-subgroup.

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Primoz Moravec. 2024-10-20. The powerful class of Sylow subgroups of finite groups. https://arxiv.org/abs/2410.15348

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