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Some properties of n-capable and n-perfect groups | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 9، دوره 24، شماره 4، اسفند 2013، صفحه 361-364 اصل مقاله (233.27 K) | ||
| نوع مقاله: Original Paper | ||
| نویسنده | ||
| M. R. Rismanchian* | ||
| Department of Pure Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Islamic Republic of Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| n-central؛ n-capable؛ n-perfect؛ n-unicentral | ||
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