Punctured groups for exotic fusion systems
| dc.contributor.author | Henke, Ellen | |
| dc.contributor.author | Libman, Assaf | |
| dc.contributor.author | Lynd, Justin | |
| dc.contributor.institution | University of Aberdeen.Mathematical Science | en |
| dc.date.accessioned | 2023-07-18T10:37:01Z | |
| dc.date.available | 2023-07-18T10:37:01Z | |
| dc.date.issued | 2023-12 | |
| dc.description | Acknowledgements. It was Andy Chermak who first asked the question in 2011 (arising out of his proof of existence and uniqueness of linking systems) of which exotic systems have localities on the set of non identity subgroups of a Sylow group. We thank him for comments on an earlier version of this paper and many helpful conversations, including during a visit to Rutgers in 2014, where he and the third author discussed the possibility of constructing punctured groups for the Benson-Solomon systems. We are grateful to George Glauberman for communicating to us several comments, corrections, and suggestions for improvement. We are especially grateful to the referee for pointing out that Lemma 4.8 conflicts with a lemma of Levi and Oliver, for alerting us to errors too numerous to mention, and for other suggestions. We would like to thank the Centre for Symmetry and Deformation at the University of Copenhagen for supporting a visit of the third named author, where some of the early work on this paper took place. Finally, the authors thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme “Groups, representations and applications”, where work on this paper was undertaken and supported by EPSRC grant no EP/R014604/1. | en |
| dc.description.status | Peer reviewed | en |
| dc.format.extent | 78 | |
| dc.format.extent | 816781 | |
| dc.identifier | 237176212 | |
| dc.identifier | ca559936-2752-4199-ac11-a0c461310137 | |
| dc.identifier | 85165488316 | |
| dc.identifier.citation | Henke, E, Libman, A & Lynd, J 2023, 'Punctured groups for exotic fusion systems', Transactions of the London Mathematical Society, vol. 10, no. 1, pp. 21-99. https://doi.org/10.48550/arXiv.2201.07160, https://doi.org/10.1112/tlm3.12054 | en |
| dc.identifier.doi | 10.48550/arXiv.2201.07160 | |
| dc.identifier.iss | 1 | en |
| dc.identifier.issn | 2052-4986 | |
| dc.identifier.other | ArXiv: http://arxiv.org/abs/2201.07160v1 | |
| dc.identifier.uri | https://hdl.handle.net/2164/21242 | |
| dc.identifier.vol | 10 | en |
| dc.language.iso | eng | |
| dc.relation.ispartof | Transactions of the London Mathematical Society | en |
| dc.subject | math.GR | en |
| dc.subject | math.AT | en |
| dc.subject | 20D20, 20J06, 20D05, 55R35 | en |
| dc.subject | QA Mathematics | en |
| dc.subject | Engineering and Physical Sciences Research Council (EPSRC) | en |
| dc.subject | EP/R014604/1 | en |
| dc.subject.lcc | QA | en |
| dc.title | Punctured groups for exotic fusion systems | en |
| dc.type | Journal article | en |
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