Smarandache algebras and their subgroups

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 $D_p$‎.