2015•Journal of Algebra and Its ApplicationsRequires access

Solvable groups derived from hypergroups

Morteza Jafarpour, H. Aghabozorgi, Bijan Davvaz

Abstract

In this paper, we introduce the smallest equivalence relation [Formula: see text] on a hypergroup [Formula: see text] such that the quotient [Formula: see text], the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relations is investigated and several results on the topic are presented.

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Key concepts: Mathematics, Equivalence relation, Quotient, Quotient algebra, Equivalence (formal languages), Characterization (materials science), Pure mathematics, Equivalence class (music)