ON THE SOLUTIONS OF EQUATIONS OVER NILPOTENT GROUPS OF CLASS 2

초록

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 eld has a solution in an extension eld which contains a copy of the given eld. But it is not easy to nd 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 abstract. Here we nd the concrete overgroups in case of nilpotent groups.

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