Title : ( ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS )
Authors: Bibi Hanieh Mirebrahimi Paziquee , Behrooz Mashayekhy Fard ,
Full TextAbstract
Recently, the authors gave some conditions under which a direct product of fi nitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V. In this paper, we extend this fact to any in nite direct product of groups. Moreover, we conclude some results for V-capability of direct products of inf initely many groups in varieties of abelian, nilpotent and polynilpotent groups.
Keywords
, Capable group, Direct product, Variety of groups, V-capable group, direct limit
@article{paperid:1028085,
author = {Mirebrahimi Paziquee, Bibi Hanieh and Mashayekhy Fard, Behrooz},
title = {ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS},
journal = {نظریه گروه ها-International Journal of Group Theory},
year = {2012},
volume = {1},
number = {3},
month = {September},
issn = {2251-7650},
pages = {33--37},
numpages = {4},
keywords = {Capable group; Direct product; Variety of groups; V-capable group; direct limit},
}
%0 Journal Article
%T ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Mashayekhy Fard, Behrooz
%J نظریه گروه ها-International Journal of Group Theory
%@ 2251-7650
%D 2012
