Two nonempty words u and v are called conjugate (by the word z) if uz=zv holds.

The situation can be described by the following equivalent conditions:

  1. uz=zv
  2. there are words s and t (s possibly empty) and integers i ≥ 1, j ≥ 0 such that
    • st is primitive,
    • u=(st)i
    • v=(ts)i
    • z=(st)js

-- StepanHolub - 10 Sep 2011

Topic revision: r1 - 2011-09-10 - StepanHolub
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