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A generalized fixed point free automorphism of prime power order
(World Scientific Publishing, 2012-06)
Let G be a finite group and α be an automorphism of G of order pn 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 ...
The influence of Hughes type action
(Taylor & Francis, 2015)
We call the action of an automorphism of a finite group G a Hughes type action if it is described by conditions on the orders of elements of G-G. In the present paper we study the structure of finite group G admitting an ...