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Book Synopsis
For a finite group G, we denote by ?(G) the number of Aut(G)-orbits on G, and by o(G) the number of distinct element orders in G. In this paper, we are primarily concerned with the two quantities d(G) := ?(G) ? o(G) and q(G) := ?(G)/ o(G).

Automorphism Orbits and Element Orders in Finite

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    A Paperback by Alexander Bors, Michael Giudici, Cheryl E. Praeger

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      Publisher: MP-AMM American Mathematical
      Publication Date: 7/31/2023 12:00:00 AM
      ISBN13: 9781470465445, 978-1470465445
      ISBN10: 1470465442

      Description

      Book Synopsis
      For a finite group G, we denote by ?(G) the number of Aut(G)-orbits on G, and by o(G) the number of distinct element orders in G. In this paper, we are primarily concerned with the two quantities d(G) := ?(G) ? o(G) and q(G) := ?(G)/ o(G).

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