Indecomposable cycle sets with cyclic permutation group

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March 13, 2019
11.00 – 13.00 – M5
Giuseppina Pinto

In order to study the indecomposable cycle sets, a possible approach involves the permutation group associated to the cycle sets.

In this talk we consider the particular case of indecomposable cycle sets with cyclic permutation group. We will introduce, in this particular case, the definition of the Socle of a cycle sets and we will see how an indecomposable cyle sets with cyclic permutation group can be pictured.

[1] M. Castelli, G. Pinto, Indecomposable involutive set-theoretic solutions with cyclic permutation group, work in progress.