A generalized fixed point free automorphism of prime power order

2012-06-01
Let G be a finite group and alpha be an automorphism of G of order p(n) for an odd prime p. Suppose that alpha acts fixed point freely on every alpha-invariant p'-section of G, and acts trivially or exceptionally on every elementary abelian alpha-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.
International Journal of Algebra and Computation

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Citation Formats
G. Ercan, “A generalized fixed point free automorphism of prime power order,” International Journal of Algebra and Computation, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43870.