Open Access
2010 Hypergroup extensions of finite Abelian groups by hypergroups of order two
Ryo Ichihara, Satoshi Kawakami, Masafumi Sakao
Nihonkai Math. J. 21(1): 47-71 (2010).

Abstract

The purpose of the present paper is to establish necessary conditions and sufficient conditions that finite commutative hypergroups are extensions of finite Abelian groups by hypergroups of order two. Applying our results to some concrete cases one can determine all such extensions.

Citation

Download Citation

Ryo Ichihara. Satoshi Kawakami. Masafumi Sakao. "Hypergroup extensions of finite Abelian groups by hypergroups of order two." Nihonkai Math. J. 21 (1) 47 - 71, 2010.

Information

Published: 2010
First available in Project Euclid: 8 April 2011

zbMATH: 1274.43007
MathSciNet: MR2798094

Subjects:
Primary: 20N20 , 43A62,

Keywords: Abelian group , Extension‎ , Hypergroup, ,

Rights: Copyright © 2010 Niigata University, Department of Mathematics

Vol.21 • No. 1 • 2010
Back to Top