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].
Original languageEnglish
Publication statusPublished - 2011

Keywords

  • involution set
  • left loop
  • symmetric 2-structure

Fingerprint Dive into the research topics of 'Kikkawa left loops and Symmetric 2-structures'. Together they form a unique fingerprint.

Cite this