Conjugation Diameter of the Symmetric Groups

Assaf Libman* (Corresponding Author), Charlotte Tarry

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

The conjugation diameter of a group G is the largest diameter of its Cayley graphs with respect to conjugation invariant generating sets. It is a strong form of the extensively studied concept of the diameter of G. We compute the conjugation diameter of the symmetric groups.
Original languageEnglish
Pages (from-to)655-672
Number of pages18
JournalInvolve
Volume13
Issue number4
DOIs
Publication statusPublished - 20 Nov 2020

Keywords

  • conjugation diameter
  • symmetric groups

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