Some necessary conditions for compatibility of groups
Abstract
Abstract Two groups L 1 L_{1} and L 2 L_{2} are compatible if there exists a finite group 𝐺 with isomorphic normal subgroups N 1 N_{1} and N 2 N_{2} such that L 1 ≅ G / N 1 L_{1}\cong G/N_{1} and L 2 ≅ G / N 2 L_{2}\cong G/N_{2} . In this paper, we give new necessary conditions for two groups to be compatible.
Fields of Study & Subjects
Finite Group Theory Research
Geometric and Algebraic Topology
Mathematics and Applications
Publication details
- Journal / source
- Journal of Group Theory
- Publication date
- 16 January 2026
- Language
- EN