COMMUNICATIONS IN ALGEBRA, vol.50, no.10, pp.4191-4194, 2022 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Fitting height, good action, nilpotent group, regular orbit
Middle East Technical University Affiliated:
Suppose that A is a finite nilpotent group of odd order having a good action, in the sense of , 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.