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math.GR2009
The Structure of Non-Associative Finite Invertible Loops (NAFIL)*
Raoul E. Cawagas
The NAFIL is a finite loop in which every element has a unique (two-sided)inverse. NAFIL loops can be classified into two types: composite (with at least one non-trivial subsystem)…
math.GR2009
Construction of a Family of Nafil Loops of Odd Order n = 2m +1
Raoul E. Cawagas
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 t…
math.GR2009
Introduction: Non-Associative Finite Invertible Loops
Raoul E. Cawagas
Non-associative finite invertible loops (NAFIL) are loops whose every element has a unique two-sided inverse. Not much is known about the class of NAFIL loops which includes the fa…