NILPOTENT LENGTH OF A FINITE SOLVABLE GROUP WITH A FROBENIUS GROUP OF AUTOMORPHISMS

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2014-01-01

Author

Ercan, Gülin
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

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Department of Mathematics, Article

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Citation Formats

G. Ercan and E. Ogut, “NILPOTENT LENGTH OF A FINITE SOLVABLE GROUP WITH A FROBENIUS GROUP OF AUTOMORPHISMS,” COMMUNICATIONS IN ALGEBRA, pp. 4751–4756, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38973.