Extensions of the Benson-Solomon fusion systems

Ellen Henke, Justin Lynd

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationGeometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016
Subtitle of host publicationProceedings of the PIMS Summer School and Workshop
EditorsJ Carlson , S Iyengar , J Pevtsova
Place of PublicationChamonix
PublisherSpringer
Pages251-268
Number of pages18
Volume242
ISBN (Electronic)978-3-319-94033-5
ISBN (Print)9783319940328
DOIs
Publication statusPublished - 2018
EventPIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016 - University of British Colombia, Vancouver, Canada
Duration: 27 Jul 20165 Aug 2016

Publication series

NameSpringer Proceedings in Mathematics & Statistics
PublisherSpringer
Volume242
ISSN (Electronic)2194-1009

Conference

ConferencePIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016
CountryCanada
CityVancouver
Period27/07/165/08/16

Fingerprint

Fusion
Automorphism Group
Linking
Finite Group

Keywords

  • fusion system
  • linking system
  • Benson-Solomon fusion system
  • group extension

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). Chamonix: 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 proceedingConference 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). https://doi.org/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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