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arxiv: 2605.24984 · v1 · pith:WGP42USEnew · submitted 2026-05-24 · 🧮 math.GR

Impartial games on two finite Groups

classification 🧮 math.GR
keywords gamesgroupsimpartialsubgroupsabelianachievementandersonavoidance
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In this paper, we study impartial achievement games and impartial avoidance games introduced by Anderson and Harary. Using the criteria of maximal subgroups, we study the game for Frobenius groups and non-abelian groups with all abelian subgroups.

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