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Lifting $N_\infty$
operads from conjugacy data
Scott Balchin, Ethan MacBrough and Kyle Ormsby |
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Vol. 5 (2023), No. 3, 479–504
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Abstract |
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We isolate a class of groups — called lossless groups — for which homotopy classes of - operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes . |
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Keywords
homotopical combinatorics, equivariant homotopy, N-infinity
operads, subgroup lattice, subgroup fusion
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Mathematical Subject Classification
Primary: 06B05, 20D30, 20J99, 55P91
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Milestones
Received: 12 October 2022
Revised: 25 February 2023
Accepted: 11 March 2023
Published: 2 November 2023
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Authors |
| Scott Balchin | |
| Mathematical Sciences Research
Centre Queen’s University Belfast Belfast UK |
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| Ethan MacBrough | |
| Department of Mathematics and
Statistics Reed College Portland, OR United States |
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| Kyle Ormsby | |
| Department of Mathematics and
Statistics Reed College Portland, OR United States |
Department of Mathematics University of Washington Seattle, WA United States |
| © 2023 MSP (Mathematical Sciences Publishers). |
