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Abstract
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The conjugation diameter of a group
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
.
We compute the conjugation diameter of the symmetric groups.
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Keywords
conjugation diameter, symmetric groups
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Mathematical Subject Classification 2010
Primary: 05E15, 20B30
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Milestones
Received: 4 March 2020
Revised: 10 May 2020
Accepted: 25 June 2020
Published: 20 November 2020
Communicated by Kenneth S. Berenhaut
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© 2020 MSP (Mathematical Sciences
Publishers). |
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