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Conjugator length

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  • UserTim Riley (Cornell University)
  • ClockFriday 15 November 2019, 13:45-14:45
  • HouseCMS, MR13.

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The conjugator length function of a finitely generated group G maps a natural number n to the minimal N such that if u and v are words representing conjugate elements of G with the sum of their lengths at most n, then there is a word w of length at most N such that uw=wv in G. I will explore why this function is important, will describe some recent results with Martin Bridson and Andrew Sale on how it can behave, and will highlight some of the many open questions about conjugator length.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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