Greedy quasigroups and combinatorial games
Theodore Allen Rice · Iowa State University Digital Repository (Iowa State University) · 2004
Greedy quasigroups arose out of a desire to better understand certain combinatorial games. In this paper, I will discuss some basis combinatorial game theory to provide motivation and quasigroup theory as background information. Greedy quasigroups have remarkable algebraic properties. In particular, I will answer the question of the existence of subquasigroups and isomorphism classes of greedy quasigroups.