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A GENERALIZED FIXED-POINT-FREE ACTION.
- Source :
-
Journal of Algebra & Its Applications . May2013, Vol. 12 Issue 3, p-1. 4p. - Publication Year :
- 2013
-
Abstract
- In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x ∈ CG(A) of prime order or of order 4, every conjugate of x in G is also contained in CG(A). Under this hypothesis it is proven that the subgroup [G, A] is solvable. Also an upper bound for the nilpotent height of [G, A] in terms of the number of primes dividing the order of A is obtained in the case where A is abelian. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 12
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 84423950
- Full Text :
- https://doi.org/10.1142/S0219498812501721