Raoul E. Cawagas
The Structure of Non-Associative Finite Invertible Loops (NAFIL)*.
Втр, 09/08/2009 - 12:16 — SomNambulAuthors: Raoul E. Cawagas
Subjects: Group Theory
AbstractThe 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) and non-composite or plain (without
any non-trivial subsystem). This paper deals with the structure of these loops.
In particular we shall introduce an important class of composite NAFIL loops
called block products.Construction of a Family of Nafil Loops of Odd Order n = 2m +1.
Ср, 09/02/2009 - 12:02 — SomNambulAuthors: Raoul E. Cawagas
Subjects: Group Theory
AbstractThe 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.Construction of a Family of Nafil Loops of Odd Order n = 2m +1.
Ср, 09/02/2009 - 12:02 — SomNambulAuthors: Raoul E. Cawagas
Subjects: Group Theory
AbstractThe 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.
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