Back to Search
Start Over
Extensions of several coprime results to good action case
- Publication Year :
- 2020
-
Abstract
- Let $G$ and $A$ be groups where $A$ acts on $G$ by automorphisms. We say "\textit{the action of $A$ on $G$ is good}" if the equality $% H=[H,B]C_H(B)$ holds for any subgroup $B$ of $A$ and for any $B$-invariant subgroup $H$ of $G$. It is straightforward that every coprime action is a good action. In the present work we extend some results due to Ward, Gross, Shumyatsky, Jabara, and Meng and Guo under coprime action to good action.<br />Comment: 8 pages
- Subjects :
- Mathematics - Group Theory
20D10, 20D15, 20D45
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2010.00666
- Document Type :
- Working Paper