Skip to main content
Log in

A Family of fusion systems related to the groups Sp4(p a) and G2(p a)

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract

A family of exotic fusion systems generalizing the group fusion systems on Sylow p-subgroups of G2(p a) and Sp4(p a) is constructed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brauer R., Nesbitt C.: On the modular characters of groups, Ann. Math. 42, 556–590 (1941)

    Article  MathSciNet  Google Scholar 

  2. Clelland M., Parker C.: Two families of exotic fusion systems, J. Algebra, 323, 287–304 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  3. D. A. Craven, The theory of fusion systems. An algebraic approach. Cambridge Studies in Advanced Mathematics, 131. Cambridge University Press, Cambridge, 2011.

  4. D. Gorenstein, R. Lyons and R. Solomon, The classification of the finite simple groups.Number 3, Part I Chapter A, Alomst simple K-groups, Math. Survey Monogr. vol 40.3, Amer. Math. Soc. 1998.

  5. C. Parker et al. Groups which are almost groups of Lie type in characteristic p, manuscript.

  6. Robinson G.R.: Amalgams, blocks, weights. fusion systems and simple groups. J. Algebra 314, 912–923 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. R. Salarian and G. Stroth, Existence of strongly p-embedded subgroups, Comm. in Algebra, to appear.

  8. J.-P. Serre, Trees, Translated from the French by John Stillwell. Springer-Verlag, Berlin-New York, 1980.

  9. S. Smith: Irreducible modules and parabolic subgroups. J. Algebra 75, 286–289 (1982)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chris Parker.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Parker, C., Stroth, G. A Family of fusion systems related to the groups Sp4(p a) and G2(p a). Arch. Math. 104, 311–323 (2015). https://doi.org/10.1007/s00013-015-0751-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00013-015-0751-8

Mathematics Subject Classification

Keywords

Navigation