Normalp-complements for finite groups

@article{Thompson1959NormalpcomplementsFF,
  title={Normalp-complements for finite groups},
  author={John G. Thompson},
  journal={Mathematische Zeitschrift},
  year={1959},
  volume={72},
  pages={332-354}
}
The minimal number of generators of the group Q is denoted m(s). We define d(B) = max m(s) where ‘21 ranges over all the abelian subgroups of EJ and we let J(cli) be the subgroup generated by all the abelian subgroups ‘u of (5 which satisfy d(B) = m(a). Clearly, if J(S) c R c Q, then J(B) is a characteristic subgroup of R, J(B) char Ji. Z(G) denotes the center of 8 and / 0, jr, is the order of a SD-subgroup of Q. 
Normal p-complements for finite groups
The minimal number of generators of the group Q is denoted m(s). We define d(B) = max m(s) where ‘21 ranges over all the abelian subgroups of EJ and we let J(cli) be the subgroup generated by all theExpand
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FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER.
  • J. Thompson
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1959
The theory of groups