Misere quotients for impartial games

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We announce misere-play solutions to several previously-unsolved combinatorial games. The solutions are described in terms of misere quotients--commutative monoids that encode the additive structure of specific misere-play games. We also introduce several advances in the structure theory of misere quotients, including a connection between the combinatorial structure of normal and misere play.
Paper has been split into two parts: this part, and a supplement at arXiv:0705.2404v1

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Combinatorics, Commutative Algebra, 91A46; 20M14

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http://salesiana.dossiersoluciones.com/handle/123456789/163808

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609825
 http://arxiv.org/abs/math/0609825
 Journal of Combinatorial Theory, Series A (May 2008) pp 593-622

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arXiv