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Conjugation
diameter of the symmetric groups
Assaf Libman and Charlotte Tarry |
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Vol. 13 (2020), No. 4, 655–672
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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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Authors |
| Assaf Libman | |
| Institute of Mathematics University of Aberdeen King’s College Aberdeen United Kingdom |
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| Charlotte Tarry | |
| Institute of Mathematics University of Aberdeen King’s College Aberdeen United Kingdom |
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| © 2020 MSP (Mathematical Sciences Publishers). |
