On Steiner loops and power associativity

Palaniappan Kannappan

doi:10.15352/bjma/1240336219

2007 On Steiner loops and power associativity

Palaniappan Kannappan

Banach J. Math. Anal. 1(2): 216-220 (2007). DOI: 10.15352/bjma/1240336219

Abstract

In this paper we investiagte Steiner loops introduced by N.S. Mendelsohn [Aeq. Math. 6 (1991), 228-230] and provide six (seven) equivalent identities to characterize it. We also prove the power associativity of Bol loops by using closure (Hexagonal) conditions.

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Palaniappan Kannappan "On Steiner loops and power associativity," Banach Journal of Mathematical Analysis 1(2), 216-220, (2007). https://doi.org/10.15352/bjma/1240336219

Published: 2007

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