n-cyclicizer groups
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full textsome properties of n-capable and n-perfect groups
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.
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Journal title
volume 37 issue No. 1
pages 161- 170
publication date 2011-06-01
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