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

author

  • M.R. Rismanchian 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.

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Journal title

volume 23  issue 3

pages  251- 256

publication date 2012-09-01

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