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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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

Citation Formats

G. Ercan, İ. Ş. GÜLOĞLU, and E. Ogut, “NILPOTENT LENGTH OF A FINITE SOLVABLE GROUP WITH A FROBENIUS GROUP OF AUTOMORPHISMS,” COMMUNICATIONS IN ALGEBRA, vol. 42, no. 11, pp. 4751–4756, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38973.