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PIMS Summer School and Workshop

PSSW 2016: Geometric and Topological Aspects of the Representation Theory of Finite Groups pp 251–268Cite as

Extensions of the Benson-Solomon Fusion Systems

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 242))

Abstract

The Benson-Solomon systems comprise the one currently 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.

To Dave Benson on the occasion of his second 60th birthday

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 Skłodowska-Curie grant agreement No. 707758.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Aberdeen, Fraser Noble Building, Aberdeen, AB15 5LY, UK

    Ellen Henke

  2. Department of Mathematics, University of Louisiana at Lafayette, Maxim Doucet Hall, Lafayette, LA, 70504, USA

    Justin Lynd

Authors
  1. Ellen Henke
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  2. Justin Lynd
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Corresponding author

Correspondence to Justin Lynd .

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Editors and Affiliations

  1. Department of Mathematics, University of Georgia, Athens, GA, USA

    Jon F. Carlson

  2. Department of Mathematics, University of Utah, Salt Lake City, UT, USA

    Srikanth B. Iyengar

  3. Department of Mathematics, University of Washington, Seattle, WA, USA

    Julia Pevtsova

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Henke, E., Lynd, J. (2018). Extensions of the Benson-Solomon Fusion Systems. In: Carlson, J., Iyengar, S., Pevtsova, J. (eds) Geometric and Topological Aspects of the Representation Theory of Finite Groups. PSSW 2016. Springer Proceedings in Mathematics & Statistics, vol 242. Springer, Cham. https://doi.org/10.1007/978-3-319-94033-5_10

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