Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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