East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ON THE SOLUTIONS OF EQUATIONS OVER NILPOTENT GROUPS OF CLASS 2

  • Kim, Seong Kun (School of General Studies, Kangwon National University)
  • Received : 2013.05.15
  • Accepted : 2013.06.05
  • Published : 2013.06.01
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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.

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References

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