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 $D_p$.
Allen, P., Kim, H. S. & Neggers, J. (2012). Smarandache algebras and their subgroups. Bulletin of the Iranian Mathematical Society, 38(4), 1063-1077.
MLA
Allen, P., Kim, H. S., & Neggers, J. "Smarandache algebras and their subgroups", Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 1063-1077.
HARVARD
Allen P., Kim H. S., Neggers J. (2012). 'Smarandache algebras and their subgroups', Bulletin of the Iranian Mathematical Society, 38(4), pp. 1063-1077.
CHICAGO
P. Allen, H. S. Kim & J. Neggers, "Smarandache algebras and their subgroups," Bulletin of the Iranian Mathematical Society, 38 4 (2012): 1063-1077,
VANCOUVER
Allen P., Kim H. S., Neggers J. Smarandache algebras and their subgroups. BIMS. 2012;38(4):1063-1077.