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Misère Kayles Game Strategies by Alexander1313 is a document available to read on EtoBox.
What is Misère Kayles Game Strategies about?
The document discusses misère quotients and strategies for misère games. It provides examples for misère Nim and misère Guiles (a variant of Kayles). For misère Nim, the strategies are the same as normal Nim except when all heaps have size 1. The quotient structure for misère Nim is presented, with the key fact being the existence of an idempotent element. Some semigroup theory is introduced regarding idempotents, mutually divisible elements, and the kernel of a finite monoid.
- Author
- Alexander1313
- Language
- EN