Impartial achievement games for generating generalized dihedral groups
نویسندگان
چکیده
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 nimnumbers of this game for generalized dihedral groups, which are of the form Dih(A) = Z2 n A for a finite abelian group A.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 68 شماره
صفحات -
تاریخ انتشار 2017