Good action of a nilpotent group with regular orbits


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ERCAN G. , GÜLOĞLU İ. Ş.

COMMUNICATIONS IN ALGEBRA, 2022 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1080/00927872.2022.2058008
  • Title of Journal : COMMUNICATIONS IN ALGEBRA
  • Keywords: Fitting height, good action, nilpotent group, regular orbit

Abstract

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.