On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order

@article{Khukhro2015OnFS,
  title={On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order},
  author={Evgeny Khukhro},
  journal={Siberian Mathematical Journal},
  year={2015},
  volume={56},
  pages={541-548}
}
  • Evgeny Khukhro
  • Published 2015
  • Mathematics
  • Siberian Mathematical Journal
  • It is proved that if a finite p-soluble group G admits an automorphism φ of order pn having at most m fixed points on every φ-invariant elementary abelian p′-section of G, then the p-length of G is bounded above in terms of pn and m; if in addition G is soluble, then the Fitting height of G is bounded above in terms of pn and m. It is also proved that if a finite soluble group G admits an automorphism ψ of order paqb for some primes p and q, then the Fitting height of G is bounded above in… CONTINUE READING