Good action of a nilpotent group with regular orbits

Gülin Ercan; İsmail Ş. Güloğlu

Good action of a nilpotent group with regular orbits

Group Theory 2021-12-09 v1

Authors: Gülin Ercan , İsmail Ş. Güloğlu

Abstract

Suppose that $A$ is a finite nilpotent group of odd order acting good in the sense of \cite{EGJ} 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 $|A|$ and $|C_G(A)|$ counted with multiplicities.

Keywords

finite nilpotent group good action regular orbit Fitting height odd order group action

Cite

@article{arxiv.2112.04407,
  title  = {Good action of a nilpotent group with regular orbits},
  author = {Gülin Ercan and İsmail Ş. Güloğlu},
  journal= {arXiv preprint arXiv:2112.04407},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1911.06588

Related papers

View all related →