Element-building games on \(\mathbb{Z}_n\)

DOI10.1007/s40598-021-00185-9zbMath1480.91064OpenAlexW3194092910MaRDI QIDQ2066769

Yanyan Li

Publication date: 14 January 2022

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-021-00185-9

zbMATH Keywords

combinatorial gamesfinite ringstwo-player gamesmodular arithmetic

Mathematics Subject Classification ID

2-person games (91A05) Finite rings and finite-dimensional associative algebras (16P10) Combinatorial games (91A46)

Cites Work

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• Achievement and avoidance games for generating Abelian groups
• Algebraic games -- playing with groups and rings
• A \(q\)-player impartial avoidance game for generating finite groups
• Impartial achievement and avoidance games for generating finite groups
• Impartial achievement games for generating nilpotent groups
• Impartial achievement games for generating generalized dihedral groups
• The Coefficient-Choosing Game
• IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS

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