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Communities & Collections
Communities & Collections
NILPOTENT LENGTH OF A FINITE SOLVABLE GROUP WITH A FROBENIUS GROUP OF AUTOMORPHISMS
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Date
2014-01-01
Author
Ercan, Gülin
GÜLOĞLU, İSMAİL ŞUAYİP
Ogut, Elif
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C-CG(F) (h) = 1 for all nonidentity elements h is an element of H, is of nilpotent length equal to the nilpotent length of the subgroup of fixed points of H.
Subject Keywords
Automorphisms
,
Frobenius group
,
Nilpotent length
,
Solvable group
URI
https://hdl.handle.net/11511/38973
Journal
COMMUNICATIONS IN ALGEBRA
DOI
https://doi.org/10.1080/00927872.2013.823776
Collections
Department of Mathematics, Article