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Annali di Matematica Pura ed Applicata

, Volume 32, Issue 1, pp 83–119 | Cite as

The classes and representations of the groups of 27 lines and 28 bitangents

  • J. S. Frame
Article

Summary

For the simple groupH 0 of the 1,451,520 automorphisms of the 28 bitangents to a plane quartic curve, and for its subgroupG of 51840 automorphisms of the 27 lines on the cubic surface, each related to an exceptional Lie algebra (E 7 andE 8), are determined all the classes and irreducible characters, some irreducible representations, certain basic invariants ofG, and the large subgroups ofH 0.

Keywords

Irreducible Representation Irreducible Character Large Subgroup Basic Invariant Quartic Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Swets & Zeitlinger B. V. 1951

Authors and Affiliations

  • J. S. Frame
    • 1
  1. 1.PrincetonU.S.A.

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