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2020 Conjugation diameter of the symmetric groups
Assaf Libman, Charlotte Tarry
Involve 13(4): 655-672 (2020). DOI: 10.2140/involve.2020.13.655

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.

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Assaf Libman. Charlotte Tarry. "Conjugation diameter of the symmetric groups." Involve 13 (4) 655 - 672, 2020. https://doi.org/10.2140/involve.2020.13.655

Information

Received: 4 March 2020; Revised: 10 May 2020; Accepted: 25 June 2020; Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4190430
Digital Object Identifier: 10.2140/involve.2020.13.655

Subjects:
Primary: 05E15, 20B30

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 4 • 2020
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