On a Fitting length conjecture without the coprimeness condition

Date

2012-08-01

Author

Ercan, Gülin

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Let A be a finite nilpotent group acting fixed point freely by automorphisms on the finite solvable group G. It is conjectured that the Fitting length of G is bounded by the number of primes dividing the order of A, counted with multiplicities. The main result of this paper shows that the conjecture is true in the case where A is cyclic of order p (n) q, for prime numbers p and q coprime to 6 and G has abelian Sylow 2-subgroups.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/40281

Journal

MONATSHEFTE FUR MATHEMATIK

DOI

https://doi.org/10.1007/s00605-011-0287-3

Collections

Department of Mathematics, Article

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Citation Formats

G. Ercan, “On a Fitting length conjecture without the coprimeness condition,” MONATSHEFTE FUR MATHEMATIK, pp. 175–187, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40281.