Generalized Covering Groups and Direct Limits

Details Generalized Covering Groups and Direct Limits Generalized Covering Groups and Direct Limits

2011-03-26

arxiv.org/abs/1103.5149v1

Bulletin of the Iranian Mathematical Society, 33:1 (2007) 47-64

Mathematics

Group Theory

22 pages

Scientific paper

M. R. R. Moghaddam (Monatsh. Math. 90 (1980) 37-43.) showed that the Baer invariant commutes with the direct limit of a directed system of groups. In this paper, using the generalization of Schur's formula for the structure of a $\mathcal{V}$-covering group for a Schur-Baer variety $\mathcal{V}$, we show that the structure of a $\mathcal{V}$-covering group commutes with the direct limit of a directed system, in some senses. It has a useful application in order to extend some known structures of $\mathcal{V}$-covering groups for several famous products of finitely many to an arbitrary family of groups.

Affiliated with

Also associated with

No associations

Rating

Generalized Covering Groups and Direct Limits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Covering Groups and Direct Limits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Covering Groups and Direct Limits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223924