[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2013.025

ON THE SOLUTIONS OF EQUATIONS OVER NILPOTENT GROUPS OF CLASS 2

Kim, Seong Kun (School of General Studies, Kangwon National University)

Publication Information

East Asian mathematical journal / v.29, no.3, 2013 , pp. 349-353 More about this Journal

Abstract

In this paper, we study equations over nilpotent groups of class 2. We show that there are some overgroups which contains solutions of equations with exponent sum 1 over nilpotent groups of class 2. As known, equations over a field has a solution in an extension field which contains a copy of the given field. But it is not easy to find that a solution of equations over groups. In many cases, even if equations over groups has a solution, the overgroup is not concrete but very Here we find the concrete overgroups in case of nilpotent groups.

Keywords

equations over groups; nilpotent groups;

Citations & Related Records

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