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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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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.