  The aim of the present paper is to define and study a new class of groups,
namely Wm-groups with a single binary operation based on axioms of semi
commutativity, right identity and left inverse. Moreover, we introduce the
notions of right cosets, quotient Wm-groups, homomorphisms, kernel and normal
Wm-subgroups in terms of Wm-groups, and investigate some of their properties.
