%0 Journal Article
%T Some properties of n-capable and n-perfect groups
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%A Rismanchian, M. R.
%D 2013
%\ 12/01/2013
%V 24
%N 4
%P 361-364
%! Some properties of n-capable and n-perfect groups
%K n-central
%K n-capable
%K n-perfect
%K n-unicentral
%R
%X In this article we introduce the notion of n-capable groups. It is shown that every group G admits a uniquely determined subgroup (〖Z^n)〗^* (G) which is a characteristic subgroup and lies in the n-centre subgroup of the group G. This is the smallest subgroup of G whose factor group is n-capable. Moreover, some properties of n-central extension will be studied.
%U https://jsciences.ut.ac.ir/article_36457_52c4a08f484812fbb2c22163f5342e7b.pdf