Title : ( On the Baer invariants of triples of groups )
Authors: Zohreh Vasagh , Bibi Hanieh Mirebrahimi Paziquee , Behrooz Mashayekhy Fard ,
Full TextAbstract
In this paper, we develop the theory of Baer invariants for triples of groups. First, we focus on the general properties of the Baer invariant of triples. Second, we prove that the Baer invariant of a triple preserves direct limits of directed systems of triples of groups. Moreover, we present a structure for the nilpotent multiplier of a triple of the free product in some cases. Finally, we give some conditions in which the Baer invariant of a triple is a torsion group.
Keywords
Baer invariant; Triple of groups; Simplicial groups
@article{paperid:1031032,
author = {Vasagh, Zohreh and Mirebrahimi Paziquee, Bibi Hanieh and Mashayekhy Fard, Behrooz},
title = {On the Baer invariants of triples of groups},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2012},
volume = {4},
number = {4},
month = {November},
issn = {1943-2380},
pages = {78--87},
numpages = {9},
keywords = {Baer invariant; Triple of groups; Simplicial groups},
}
%0 Journal Article
%T On the Baer invariants of triples of groups
%A Vasagh, Zohreh
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Mashayekhy Fard, Behrooz
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2012
