Quantum Topology Seminar
Scott Carter
University of South Alabama
Quipu: An elementary mathematical theory
Abstract: Permutations with quipu give easy visual techniques for computing products in various finite groups.
Given such a group, consider an element that has fairly large order, and partition the group into cosets of the subgroup generated by that element.
Choose an order for everything insight. Then the group itself acts upon the subgroup and the collection of cosets as a set of permutations. In the subgroup,
the action is cyclic. The (mod n)-quipu is envisioned as a little node upon a collection of strings. Such nodes may appear on some or all of the strings.
These nodes are allowed to slide up the strings and through crossings.
Thursday October 20, 2022 at 12:00 PM in Zoom