Title : ( Some outer commutator multipliers and capability of nilpotent products of cyclic groups )
Authors: Mohsen Parvizi , Behrooz Mashayekhy Fard ,
Full TextAbstract
In this paper, first we obtain an explicit formula for an outer commutator multiplier of nilpotent products of cyclic groups with respect to the variety [ mathfrak{N}_{c_1}, mathfrak{N}_{c_2}] , mathfrak{N}_{c}M( mathbb{Z} st{n}* mathbb{Z} st{n}* cdots st{n}* mathbb{Z} st{n}* mathbb{Z}_{r_1} st{n}* mathbb{Z}_{r_2} st{n}* cdots st{n}* mathbb{Z}_{r_t}) where r_{i+1} mid r_i (1 leq i leq t-1) , c_1+c_2+1 geq n , 2c_2-c_1>2n-2 and (p,r_1)=1 for all prime less than or equal c_1+c_2+n , second we give a necessary condition for these groups to be [ mathfrak{N}_{c_1}, mathfrak{N}_{c_2}] -capable.
Keywords
Outer commutator; nilpotent product; Baer invariant; capability.
@article{paperid:1022256,
author = {Parvizi, Mohsen and Mashayekhy Fard, Behrooz},
title = {Some outer commutator multipliers and capability of nilpotent products of cyclic groups},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2012},
volume = {1},
number = {2},
month = {March},
issn = {1943-2380},
pages = {1--11},
numpages = {10},
keywords = {Outer commutator; nilpotent product; Baer invariant; capability.},
}
%0 Journal Article
%T Some outer commutator multipliers and capability of nilpotent products of cyclic groups
%A Parvizi, Mohsen
%A Mashayekhy Fard, Behrooz
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2012
