We approach the existence of class 1 symmetric 2-structures by studying a class of left loops related to them. Such left loops turn out to satisfy a relation very similar to the left Bol property, and they are of exponent 2. Then we give a characterization of these left loops by means of invariant involution sets, and classify them according to the cardinality of the point stabilizers, comparing then our results with the classification of symmetric 2-structures given in [3].

Pianta, S., Costa, S., Kikkawa left loops and Symmetric 2-structures, 2011 [Altro] [http://hdl.handle.net/10807/6841]

Kikkawa left loops and Symmetric 2-structures

Pianta, Silvia;Costa, Simone
2011

Abstract

We approach the existence of class 1 symmetric 2-structures by studying a class of left loops related to them. Such left loops turn out to satisfy a relation very similar to the left Bol property, and they are of exponent 2. Then we give a characterization of these left loops by means of invariant involution sets, and classify them according to the cardinality of the point stabilizers, comparing then our results with the classification of symmetric 2-structures given in [3].
Inglese
Pianta, S., Costa, S., Kikkawa left loops and Symmetric 2-structures, 2011 [Altro] [http://hdl.handle.net/10807/6841]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/6841
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