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Fixed point free action on groups of odd order
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Date
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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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.