A base-p Sprague-Grundy type theorem for p-calm subtraction games: Welter's game and representations of generalized symmetric groups

Yuki Irie

For impartial games $\Gamma$ and ${\Gamma }^{\prime }$, the Sprague-Grundy function of the disjunctive sum $\Gamma +{\Gamma }^{\prime }$ is equal to the Nim-sum of their Sprague-Grundy functions. In this paper, we introduce…