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<p>In this article, we list all possibilities for non-abelian finite simple groups that act with low fixity on one of their conjugacy classes, and we give information about when the subgroup generated by the fixed point set is abelian.</p>

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Finite simple groups that act with low fixity on a conjugacy class

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月14日

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  • Christoph Möller,
  • Rebecca Waldecker

摘要

In this article, we list all possibilities for non-abelian finite simple groups that act with low fixity on one of their conjugacy classes, and we give information about when the subgroup generated by the fixed point set is abelian.