• 𝑛-th Roots in finite polyhedral and centro-polyhedral groups

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      https://www.ias.ac.in/article/fulltext/pmsc/125/04/0487-0499

    • Keywords

       

      Probability in finite groups; roots of elements; polyhedral groups; centropolyhedral groups.

    • Abstract

       

      The probability that a randomly chosen element in a non-abelian finite group has a square root, has been investigated by certain authors in recent years. In this paper, this probability will be generalized for the 𝑛-th roots when 𝑛 ≥ 2 and it will be computed for every finite polyhedral group and all of the finite centro-polyhedral groups.

    • Author Affiliations

       

      A Sadeghieh1 K Ahmadidelir2

      1. Yazd Branch, Islamic Azad University, Yazd, Iran
      2. Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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