On nilpotent and solvable polygroups

Document Type: Research Paper

Authors

1 Department of Mathematics, Yazd University, Yazd, Iran

2 Department of Mathematics, Vali-e-Asr University, Rafsanjan, Iran

3 Yazd University

Abstract

Applications of hypergroups have mainly appeared in special subclasses. One of the important subclasses is the class of polygroups.
In this paper, we study the notions of nilpotent and solvable polygroups by using the notion of heart of polygroups. In particular, we give
a necessary and sufficient condition between nilpotent (solvable) polygroups and fundamental groups.

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