Walter Ledermann, Bernhard Neumann
Abstract
Abstract Corresponding to a fixed prime p there exists a function g(h) such that the order of the automorphism group of a finite group G is divisible by ph, provided that the order of G is divisible by pg(h). An explicit upper bound for g(h) is obtained.
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Abstract Corresponding to a fixed prime p there exists a function g(h) such that the order of the automorphism group of a finite group G is divisible by ph, provided that the order of G is divisible by pg(h). An explicit upper bound for g(h) is obtained.
Key concepts: Order (exchange), p-group, Finite group, Outer automorphism group, Mathematics, Group (periodic table), Automorphism, Inner automorphism