On Complemented Soft Group (S-Group)

Abstract

In this study, we discuss the concept of complemented soft groups or ^S-groups in detail. We provide the definition of an ^S-group and a complemented ^S-group and investigate the properties of these groups. We also prove a theorem that characterizes the relationship between a complemented ^S-group and a normal subgroup of the group. Overall, this research aims to contribute to the development of the theory of complemented ^S-groups.