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Good action of a nilpotent group with regular orbits
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Date
2022-04-01
Author
Ercan, Gülin
GÜLOĞLU, İSMAİL ŞUAYİP
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Suppose that A is a finite nilpotent group of odd order having a good action, in the sense of [1], on the group G of odd order. Under some additional assumptions we prove that the Fitting height of G is bounded above by the sum of the numbers of primes dividing vertical bar A vertical bar and vertical bar C-G(A)vertical bar counted with multiplicities.
Subject Keywords
Fitting height
,
good action
,
nilpotent group
,
regular orbit
URI
https://hdl.handle.net/11511/97300
Journal
COMMUNICATIONS IN ALGEBRA
DOI
https://doi.org/10.1080/00927872.2022.2058008
Collections
Department of Mathematics, Article
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G. Ercan and İ. Ş. GÜLOĞLU, “Good action of a nilpotent group with regular orbits,”
COMMUNICATIONS IN ALGEBRA
, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/97300.