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<p>We improve a result of Keller and Moretó about the lower bound of the number of conjugacy classes of finite groups with respect to a prime divisor of the order of the group. We also provide counterexamples to a related conjecture raised by Keller and Moretó.</p>

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Prime divisors and the number of conjugacy classes of finite groups

  • 期刊论文

  • 发表日期：

    2025年10月5日

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  • Jidong Guo,
  • Yong Yang

摘要

We improve a result of Keller and Moretó about the lower bound of the number of conjugacy classes of finite groups with respect to a prime divisor of the order of the group. We also provide counterexamples to a related conjecture raised by Keller and Moretó.