References
G. Glauberman, Fixed points in groups with operator group. Math. Z.84, 120–125 (1964).
B.Huppert, Endliche Gruppen I. Berlin-Heidelberg-New York 1967.
E. Shult, Nilpotence of the commutator subgroup in groups admitting fixed point free operator groups. Pacific J. Math.17, 323–347 (1966).
E. Shult, On groups admitting fixed-point-free abelian operator group. Illinois Math. J.9, 701–720 (1965).
J. Thompson, Finite groups admitting a fixed-point-free automorphism of prime order. Proc. Nat. Acad. Sci. U.S.A.45, 578–581 (1959).
Y. Wang, A class of Frattini-like subgroups of a finite group. J. Pure Appl. Algebra78, 101–108 (1992).
H. Wielandt, Zum Satz von Sylow. Math. Z.60, 407–408 (1954).
T. Yoshida, Character-theoretic transfer. J. Algebra52, 120–125 (1978).
Author information
Authors and Affiliations
Additional information
Project supported in part by National Natural Science Foundation of China and STFG
Rights and permissions
About this article
Cite this article
Wang, Y. Remarks on finite group admitting an automorphism of prime order. Arch. Math 65, 471–474 (1995). https://doi.org/10.1007/BF01194162
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01194162