The friendly giant

@article{Griess1982TheFG,
  title={The friendly giant},
  author={Robert L. Griess},
  journal={Inventiones mathematicae},
  year={1982},
  volume={69},
  pages={1-102}
}
  • R. L. Griess
  • Published 1982
  • Mathematics
  • Inventiones mathematicae

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The Mathieu groups are the finite simple groups M 11 , M 12 , M 22 , M 23 , M 24 given originally as permutation groups on respectively 11, 12, 22, 23, 24 symbols. Their definition can best be foundExpand
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Publisher Summary This chapter presents some evidence for the existence of a simple group F, called the monster. It was discovered independently by Fischer and Thompson. Using computer techniques,Expand
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A pipeline positioning system for controlling a pipeline portion which extends from a pipe laying vessel into a body of water wherein the pipeline portion is formed by successively adding pipeExpand
A construction of F(1) as automorphisms of a 196,883-dimensional algebra.
  • R. L. Griess
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1981
TLDR
The construction of the finite simple group F(1), whose existence was predicted independently in 1973 by Bernd Fischer and by me is announced, and implies the existence of a number of other sporadic simple groups for which existence proofs formerly depended on work with computers. Expand
Generators, relations and coverings of algebraic groups, II
THEOREM 1.1. Let G be the group of rational points of a simply connected simple afine algebraic group defined and split over a fmite j?eld of q elements. Then the Schur multiplier M of G is trivialExpand
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