Mis\`ere Games and Mis\`ere Quotients
Combinatorics
2007-05-23 v2 Commutative Algebra
Abstract
These lecture notes are based on a short course on mis\`ere quotients offered at the Weizmann Institute of Science in Rehovot, Israel, in November 2006. They include an introduction to impartial games, starting from the beginning; the basic mis\`ere quotient construction; a proof of the Guy--Smith--Plambeck Periodicity Theorem; and statements of some recent results and open problems in the subject.
Keywords
Cite
@article{arxiv.math/0612616,
title = {Mis\`ere Games and Mis\`ere Quotients},
author = {Aaron N. Siegel},
journal= {arXiv preprint arXiv:math/0612616},
year = {2007}
}
Comments
34 pages; fixed references