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1. Some properties of n-capable and n-perfect groups

M. R. Rismanchian

Volume 24, Issue 4 , Autumn 2013, , Pages 361-364

Abstract
  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. ...  Read More