Starting from a suitable kinematic and left alternative K-algebra we obtain a class of incidence left loops (P,L,.) such that every line of L passing through the identity of the loop P is a commutative subgroup. We investigate the case in which (P,.) is a Moufang loop and we study a class of automorphisms of such a structure.
Incidence Left Loops Derived from Kinematic Algebras
PASOTTI, Anita;ZIZIOLI, Elena
2007-01-01
Abstract
Starting from a suitable kinematic and left alternative K-algebra we obtain a class of incidence left loops (P,L,.) such that every line of L passing through the identity of the loop P is a commutative subgroup. We investigate the case in which (P,.) is a Moufang loop and we study a class of automorphisms of such a structure.File in questo prodotto:
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