Abstract:
A polygroup is a multivalued algebraic structure satisfying the group like objects. In recent
years, polygroups have been investigated by a number of mathematicians because, the notion of
polygroup, in some sense, generalize the idea of a group. In this paper, we introduce some
properties of polygroup structure generated by the double cosets of any given group. Besides, we
investigate several results and prove some results induced by the double cosets of any given group.
Furthermore, the relationship between the induced polygroup structure and corresponding group
in detail. Polygroup structure has some applications in various mathematics field. Further, certain
results regarding normal subpolygroups, maximal subpolygroups and subpolygroup satisfying
chain conditions were proved.
