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A GENERALIZED FIXED POINT FREE AUTOMORPHISM OF PRIME POWER ORDER.
- Source :
-
International Journal of Algebra & Computation . Jun2012, Vol. 22 Issue 4, p1250029-1250029. 5p. - Publication Year :
- 2012
-
Abstract
- Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α acts fixed point freely on every α-invariant p′-section of G, and acts trivially or exceptionally on every elementary abelian α-invariant p-section of G. It is proved that G is a solvable p-nilpotent group of nilpotent length at most n + 1, and this bound is best possible. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181967
- Volume :
- 22
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Algebra & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 77059314
- Full Text :
- https://doi.org/10.1142/S0218196712500294