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 $D_p$.

Volume 38, Issue 4 - Serial Number 4
December 2012
Pages 1063-1077
  • Receive Date: 16 November 2009
  • Revise Date: 10 May 2010
  • Accept Date: 10 May 2010
  • First Publish Date: 15 December 2012