%0 Journal Article
%T Construction of a Family of Nafil Loops of Odd Order n = 2m +1
%A Raoul E. Cawagas
%J Mathematics
%D 2009
%I arXiv
%X The existence of NAFIL loops of every odd order n => 5 is established by construction. These are non-associative finite invertible loops that are simple and power-associative and they form an infinite family. The first member of this family is the NAFIL loop of order n = 5 which is known to define a Lie algebra with some possible applications in particle physics.
%U http://arxiv.org/abs/0909.0127v1