A generalized fixed point free automorphism of prime power order

2012-06-01
Ercan, Gülin
Güloǧlu, Ismail Ş.
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.

Citation Formats
G. Ercan and I. Ş. Güloǧlu, “A generalized fixed point free automorphism of prime power order,” International Journal of Algebra and Computation, vol. 22, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43870.