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- W4300707763 abstract "We study an impartial game introduced by Anderson and Harary. This game is played by two players who alternately choose previously-unselected elements of a finite group. The first player who builds a generating set from the jointly-selected elements wins. We determine the nim-numbers of this game for generalized dihedral groups, which are of the form $operatorname{Dih}(A)= mathbb{Z}_2 ltimes A$ for a finite abelian group $A$." @default.
- W4300707763 created "2022-10-04" @default.
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- W4300707763 date "2016-07-31" @default.
- W4300707763 modified "2023-09-26" @default.
- W4300707763 title "Impartial achievement games for generating generalized dihedral groups" @default.
- W4300707763 doi "https://doi.org/10.48550/arxiv.1608.00259" @default.
- W4300707763 hasPublicationYear "2016" @default.
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