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

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The powerful class of Sylow subgroups of finite groups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月12日

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  • Primož Moravec

摘要

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.