One-relator group
Groups, moves and rules · any number of moves, one rule
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A group that can be defined by any number of moves but a single rule. A lot is known about such groups, for example Newman’s theorem on the friends of any move. The game “step and lift”, with its two rules, is not one of them; the paper arXiv 2610.23637 derives this from Newman’s theorem.
Source: Wikipedia: One-relator group
Read more: Why one rule is not enough for the player: friends are not friends
Where it appears · 1
- How many rules does a game need · Research