Relator Games on Groups

zbMath1490.91035arXiv2011.08915MaRDI QIDQ3390726

Zachary Gates, Robert Kelvey

Publication date: 25 March 2022

Full work available at URL: https://arxiv.org/abs/2011.08915

Mathematics Subject Classification ID

2-person games (91A05) Games involving graphs (91A43) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Combinatorial games (91A46)

Related Items (1)

Impartial hypergraph games

Cites Work

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• On a pursuit game on Cayley graphs
• Achievement and avoidance games for generating Abelian groups
• \(N\)-person Nim and \(N\)-person Moore's games
• A \(q\)-player impartial avoidance game for generating finite groups
• Impartial achievement and avoidance games for generating finite groups
• Vertex-to-vertex pursuit in a graph
• Impartial achievement games for generating nilpotent groups
• Impartial achievement games for generating generalized dihedral groups
• The Game of Cycles
• Firefighting on trees and Cayley graphs
• Mathematics for Human Flourishing
• IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS

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