Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588956 | Journal of Algebra | 2007 | 8 Pages |
Abstract
J.L. Loday (1978) introduced the concept of relative central extension and G. Ellis (1998) gave the notion of covering pair of a pair of groups (G,N). In this paper under some condition we show the existence of covering pair for the pair of groups (G,N) and also show that every relative central extension is a homomorphic image of a covering pair of (G,N). Finally, we present some inequalities for the Schur multiplier of a pair of finite groups (G,N).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory