# Smarandache algebras and their subgroups

Document Type : Research Paper

Authors

1 University of Alabama

2 Hanyang University and Research Institute for Natural Sciences

Abstract

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 $D_p$.

### History

• Receive Date: 16 November 2009
• Revise Date: 10 May 2010
• Accept Date: 10 May 2010