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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 Groups AlmostSolubility and the Monster

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For a finite group G, we denote by ?(G) the number of Aut(G)-orbits on G, and by o(G) the number... Read more

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

    Number of Pages: 95

    Not Just Books , Stationery

    Description

    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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