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- W4300922080 abstract "We study two impartial games introduced by Anderson and Harary. Both games are played by two players who alternately select previously-unselected elements of a finite group. The first player who builds a generating set from the jointly-selected elements wins the first game. The first player who cannot select an element without building a generating set loses the second game. We determine the nim-numbers, and therefore the outcomes, of these games for symmetric and alternating groups." @default.
- W4300922080 created "2022-10-04" @default.
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- W4300922080 date "2015-08-14" @default.
- W4300922080 modified "2023-10-17" @default.
- W4300922080 title "Impartial avoidance and achievement games for generating symmetric and alternating groups" @default.
- W4300922080 doi "https://doi.org/10.48550/arxiv.1508.03419" @default.
- W4300922080 hasPublicationYear "2015" @default.
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