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Fixed point free action on groups of odd order
- Source :
-
Journal of Algebra . Jul2008, Vol. 320 Issue 1, p426-436. 11p. - Publication Year :
- 2008
-
Abstract
- Abstract: Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G. Assume that is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the length of the longest chain of subgroups of A. [Copyright &y& Elsevier]
- Subjects :
- *FINITE groups
*MODULES (Algebra)
*ABELIAN groups
*GROUP theory
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 320
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 32177848
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2008.01.033