Seminario di Algebra: Doubly transitive groups and quandles (Leandro Vendramin)

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26/02/2014
dalle 11:00 alle 12:00

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Aula 7 Dip. Matematica e Informatica, via Machiavelli 35

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Doubly transitive groups and quandles

Leandro Vendramin (Universidad de Buenos Aires, Argentina)

 

Abstract: We prove that for  n>2 there exists a quandle of cyclic type of size n
if and only if n is a power of a prime number. This establishes a
conjecture of S. Kamada, H. Tamaru and K. Wada. As a corollary, every
finite quandle of cyclic type is an Alexander quandle. We also prove
that finite doubly transitive quandles are of cyclic type. This
establishes a conjecture of H. Tamaru.

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