A Generalized Fixed Point Free Automorphism of Prime Power Order
نویسندگان
چکیده
Let G be a finite group and α be an automorphism of G of order p n for an odd prime p. Suppose that α acts fixed point freely on every α-invariant p-section of G, and acts trivially or exceptionally on every elementary abelian α-invariant p-section of G. It is proved that G is a solvable p-nilpotent group of nilpotent length at most n + 1, and this bound is best possible.
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ورودعنوان ژورنال:
- IJAC
دوره 22 شماره
صفحات -
تاریخ انتشار 2012