Thomas Zaslavsky (Binghamton)

Quasigroups via Graphs

Abstract for the Combinatorics and Algebra Seminars
2008 September 16

A quasigroup is essentially a group without associativity. An n-ary quasigroup is a generalization from 2 to n independent variables. I will explain how indecomposability of biased graphs explains decomposition of n-ary quasigroups, and vice versa. There are many open questions.


To the Combinatorics Seminar Web page.