Commutator theory for racks and quandles - M. BONATTO, Universidad de Buenos Aire (Argentina).
Seminario di Algebra
Dettagli dell'evento
Quando
26/02/2020
dalle 16:00 alle 17:00
dalle 16:00 alle 17:00
Dove
Aula 1, DMI
Persona di riferimento
C. Menini
Abstract: Racks and quandles are binary algebraic structures arising in knot theory and the study of Hopf algebras. In this talk we adapt the commutator theory developed by Freese and McKenzie for arbitrary algebraic structures to racks and quandles. The goal of such theory is to define the notions of abelian and central congruences, extending the familiar definitions in the setting of groups in order to talk about solvable and nilpotent objects.
For racks, the commutator theory has a nice and sharp interpretation in group theoretical language. We also provide some applications, both towards classification problems for finite quandles and knot theory.
