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The Penney’s Game with Group Action
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The Penney’s Game with Group Action
The Penney’s Game with Group Action
Journal Article

The Penney’s Game with Group Action

2022
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Overview
Consider equipping an alphabet A with a group action which partitions the set of words into equivalence classes which we call patterns. We answer standard questions for Penney’s game on patterns and show non-transitivity for the game on patterns as the length of the pattern tends to infinity. We also analyze bounds on the pattern-based Conway leading number and expected wait time, and further explore the game under the cyclic and symmetric group actions.
Publisher
Springer International Publishing,Springer Nature B.V