Fixed point free action on groups of odd order

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2008-7

Author

Ercan, Gülin
Güloğlu, İsmail Ş.

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Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G. Assume that |G| 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.

Subject Keywords

Solvable groups, Fixed point free action, Finite groups, Representations

URI

https://hdl.handle.net/11511/28624

Journal

Journal of Algebra

DOI

https://doi.org/10.1016/j.jalgebra.2008.01.033

Collections

Department of Mathematics, Article

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Citation Formats

G. Ercan and İ. Ş. Güloğlu, “Fixed point free action on groups of odd order,” Journal of Algebra, pp. 426–436, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28624.