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

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2014-01-01
Ercan, Gülin
GÜLOĞLU, İSMAİL ŞUAYİP
Ogut, Elif
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.

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.