We study an impartial game introduced by Anderson and Harary. This game is played by two players who alternately choose previously-unsel-ected 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 Dih(A) = Z2 ⋉ A for a finite abelian group A.
|Original language||English (US)|
|Number of pages||14|
|Journal||Australasian Journal of Combinatorics|
|State||Published - 2017|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics