• Mathematics
  • Published 2003

On Some Pronormal Subgroups of Finite Groups I

@inproceedings{Kun2003OnSP,
  title={On Some Pronormal Subgroups of Finite Groups I},
  author={Wang Kun},
  year={2003}
}
The main object of this paper is to show the following theorem:If every maximal subgroup of a Sylow p subgroup F p , let G be a finite groop and F *(G) the generalized Fitting subgroup of G , F *(G) is pronormal in N G(F p) for all primes p∈π(F *(G)), and all the cyclic subgroups with order 2 or 4 of a Sylow 2 subgroup F 2 of F *(G) are pronomal in N G(F 2) , then G is supersolvable.