Extensions of the Benson-Solomon fusion systems

Ellen Henke; Justin Lynd

doi:10.1007/978-3-319-94033-5_10

Extensions of the Benson-Solomon fusion systems

Ellen Henke, Justin Lynd

Mathematical Science

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

4 Citations (Scopus)

Abstract

The Benson-Solomon systems comprise the only known family of simple saturated fusion systems at the prime two that do not arise as the fusion system of any finite group. We determine the automorphism groups and the possible almost simple extensions of these systems and of their centric linking systems.

Original language	English
Title of host publication	Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016
Subtitle of host publication	Proceedings of the PIMS Summer School and Workshop
Editors	J Carlson , S Iyengar , J Pevtsova
Place of Publication	Chamonix
Publisher	Springer
Pages	251-268
Number of pages	18
Volume	242
ISBN (Electronic)	978-3-319-94033-5
ISBN (Print)	9783319940328
DOIs	https://doi.org/10.1007/978-3-319-94033-5_10
Publication status	Published - 2018
Event	PIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016 - University of British Colombia, Vancouver, Canada Duration: 27 Jul 2016 → 5 Aug 2016

Publication series

Name	Springer Proceedings in Mathematics & Statistics
Publisher	Springer
Volume	242
ISSN (Electronic)	2194-1009

Conference

Conference	PIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016
Country/Territory	Canada
City	Vancouver
Period	27/07/16 → 5/08/16

Bibliographical note

Justin Lynd was partially supported by NSA Young Investigator Grant H98230-14-1-0312. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 707758.

Keywords

fusion system
linking system
Benson-Solomon fusion system
group extension

Access to Document

10.1007/978-3-319-94033-5_10Licence: Unspecified

http://arxiv.org/abs/1701.06949v1Licence: Unspecified

Cite this

Henke, E., & Lynd, J. (2018). Extensions of the Benson-Solomon fusion systems. In J. Carlson , S. Iyengar , & J. Pevtsova (Eds.), Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016: Proceedings of the PIMS Summer School and Workshop (Vol. 242, pp. 251-268). (Springer Proceedings in Mathematics & Statistics; Vol. 242). Springer . https://doi.org/10.1007/978-3-319-94033-5_10

Extensions of the Benson-Solomon fusion systems. / Henke, Ellen; Lynd, Justin.
Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016: Proceedings of the PIMS Summer School and Workshop. ed. / J Carlson ; S Iyengar ; J Pevtsova . Vol. 242 Chamonix: Springer , 2018. p. 251-268 (Springer Proceedings in Mathematics & Statistics; Vol. 242).

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

Henke, E & Lynd, J 2018, Extensions of the Benson-Solomon fusion systems. in J Carlson , S Iyengar & J Pevtsova (eds), Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016: Proceedings of the PIMS Summer School and Workshop. vol. 242, Springer Proceedings in Mathematics & Statistics, vol. 242, Springer , Chamonix, pp. 251-268, PIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016, Vancouver, Canada, 27/07/16. https://doi.org/10.1007/978-3-319-94033-5_10

Henke E, Lynd J. Extensions of the Benson-Solomon fusion systems. In Carlson J, Iyengar S, Pevtsova J, editors, Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016: Proceedings of the PIMS Summer School and Workshop. Vol. 242. Chamonix: Springer . 2018. p. 251-268. (Springer Proceedings in Mathematics & Statistics). Epub 2018 Oct 5. doi: 10.1007/978-3-319-94033-5_10

Henke, Ellen ; Lynd, Justin. / Extensions of the Benson-Solomon fusion systems. Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016: Proceedings of the PIMS Summer School and Workshop. editor / J Carlson ; S Iyengar ; J Pevtsova . Vol. 242 Chamonix : Springer , 2018. pp. 251-268 (Springer Proceedings in Mathematics & Statistics).

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Extensions of the Benson-Solomon fusion systems

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Keywords

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