The aim of this talk is to formalize some folklore from combinatorial game theory and to introduce a few new results concerning morphisms of impartial games, one of which we can think of as the First Isomorphism Theorem for impartial games. This is preliminary work that was initiated at the most recent Combinatorial Game Theory Colloquium in the Azores. This is joint work with Bojan Bašić, Paul Ellis, Danijela Popović, and Nándor Sieben.

This talk was given on April 13, 2023 during the Virtual Combinatorial Game Theory Seminar.

June 18, 2023