OAI/GroupTheory/PolycyclicRecognition/Algebra/EventualPingPong.lean
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Large powers of contracting transformations generate a free group
Uniform control of sufficiently large positive and negative powers on the other attracting domain suffices. A common power turns these estimates into the cyclic ping-pong criterion.
- theorem
OAI.PolycyclicRecognition.eventual_ping_pong_free_powerline 18