Title : ( On Varietal Capability of Direct Products of Groups and Pairs of Groups )
Authors: Bibi Hanieh Mirebrahimi Paziquee , Behrooz Mashayekhy Fard ,
Full TextAbstract
In this paper we give some conditions in which a direct product of groups is V−capable if and only if each of its factors is V−capable for some varieties V. Moreover, we give some conditions in which a direct product of a finite family of pairs of groups is capable if and only if each of its factors is a capable pair of groups.
Keywords
, Capable group; Direct product; Variety of groups; V−capable group, Pair of groups; Capable pair of groups
@article{paperid:1023202,
author = {Mirebrahimi Paziquee, Bibi Hanieh and Mashayekhy Fard, Behrooz},
title = {On Varietal Capability of Direct Products of Groups and Pairs of Groups},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2012},
volume = {4},
number = {3},
month = {August},
issn = {1943-2380},
pages = {1--7},
numpages = {6},
keywords = {Capable group; Direct product; Variety of groups; V−capable group; Pair of groups;
Capable pair of groups},
}
%0 Journal Article
%T On Varietal Capability of Direct Products of Groups and Pairs of Groups
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Mashayekhy Fard, Behrooz
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2012
