Smarandache algebras and their subgroups

Document Type : Research Paper


1 University of Alabama

2 Hanyang University and Research Institute for Natural Sciences


In this paper we define S algebras and show
 that every finite group can be found in some S algebra.  We
 define and study the S degree of a finite group and determine
 the S degree of several classes of finite groups such as cyclic
 groups, elementary abelian $p$-groups, and dihedral groups $D_p$.