Generalized Baer-Invariant of a Pair of Groups and Marginal Extension

Author

Department of pure mathematics, Faculty of Mathematical Sciences, Shahrekord University,

Abstract

In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.