Solvable groups admitting a fixed-point-free automorphism of prime power order

Author:
Fletcher Gross

Journal:
Proc. Amer. Math. Soc. **17** (1966), 1440-1446

MSC:
Primary 20.40

DOI:
https://doi.org/10.1090/S0002-9939-1966-0207836-0

MathSciNet review:
0207836

Full-text PDF

References | Similar Articles | Additional Information

**[1]**D. Gorenstein and I. Herstein,*Finite groups admitting a fixed-point-free automorphism of order*, Amer. J. Math.**83**(1961), 71-78. MR**0122868 (23:A200)****[2]**P. Hall and G. Higman,*On the*-*length of*-*soluble groups and reduction theorems for Burnside's problem*, Proc. London Math. Soc. (3)**6**(1956), 1-42. MR**0072872 (17:344b)****[3]**G. Higman,*Groups and rings having automorphisms without non-trivial fixed elements*, J. London Math. Soc.**32**(1958), 321-334. MR**0089204 (19:633c)****[4]**F. Hoffman,*Nilpotent height of finite groups admitting fixed-point-free automorphisms*, Math. Z.**85**(1964), 260-267. MR**0174627 (30:4827)****[5]**E. Shult,*On groups admitting fixed point free abelian groups*, Illinois J. Math.**9**(1965), 701-720. MR**0183792 (32:1269)****[6]**J. Thompson,*Finite groups with fixed-point-free automorphisms of prime order*, Proc. Nat. Acad Sci. U.S.A.**45**(1959), 578-581. MR**0104731 (21:3484)****[7]**-,*Automorphisms of solvable groups*, J. Algebra**1**(1964), 259-267. MR**0173710 (30:3920)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
20.40

Retrieve articles in all journals with MSC: 20.40

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1966-0207836-0

Article copyright:
© Copyright 1966
American Mathematical Society