A \(q\)-player impartial avoidance game for generating finite groups

DOI10.1007/s00182-018-0624-zzbMath1416.91052OpenAlexW2802756715MaRDI QIDQ1791282

Marisa R. Gaetz, Bret J. Benesh

Publication date: 4 October 2018

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00182-018-0624-z

zbMATH Keywords

game theorygroup theorymaximal subgroupimpartial game

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) (n)-person games, (n>2) (91A06) Combinatorial games (91A46)

Related Items (2)

Relator Games on Groups ⋮ Element-building games on \(\mathbb{Z}_n\)

Cites Work

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• Achievement and avoidance games for generating Abelian groups
• \(N\)-person Nim and \(N\)-person Moore's games
• Maximal subgroups of direct products
• Three-player impartial games.
• Three Person Winner-Take-All Games with McCarthy's Revenge Rule
• IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS

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