Some 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. Mor...

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Bibliographic Details
Main Author: M. R. Rismanchian
Format: Article
Language:English
Published: University of Tehran 2013-12-01
Series:Journal of Sciences, Islamic Republic of Iran
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Online Access:https://jsciences.ut.ac.ir/article_36457_52c4a08f484812fbb2c22163f5342e7b.pdf
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