The construction of loops using right division and Ward quasigroups
نویسندگان
چکیده
Constructions are given of families of loops which can be described in terms of the table obtained from the loop by using the operation of right division. The motivation comes from group representation theory and the group matrix which goes back to Frobenius.
منابع مشابه
Right Division in Groups, Dedekind-frobenius Group Matrices, and Ward Quasigroups
The variety of quasigroups satisfying the identity (xy)(zy) = xz mirrors the variety of groups, and offers a new look at groups and their multiplication tables. Such quasigroups are constructed from a group using right division instead of multiplication. Their multiplication tables consist of circulant blocks which have additional symmetries and have a concise presentation. These tables are a r...
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