Title : GENERALIZED COVERING GROUPS AND DIRECT LIMITS ( Generalized covering groups and direct limits )
Authors: Behrooz Mashayekhy Fard , Bibi Hanieh Mirebrahimi Paziquee ,
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Abstract
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.
Keywords
, mathcal{V} -covering group, Direct limit, Baer invariant, Variety of groups.
@article{paperid:1004480,
author = {Mashayekhy Fard, Behrooz and Mirebrahimi Paziquee, Bibi Hanieh},
title = {GENERALIZED COVERING GROUPS AND DIRECT LIMITS},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2007},
volume = {33},
number = {1},
month = {March},
issn = {1735-8515},
pages = {47--64},
numpages = {17},
keywords = {mathcal{V} -covering group;
Direct limit; Baer invariant; Variety of groups.},
}
%0 Journal Article
%T GENERALIZED COVERING GROUPS AND DIRECT LIMITS
%A Mashayekhy Fard, Behrooz
%A Mirebrahimi Paziquee, Bibi Hanieh
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2007
