Abstract
The Monster simple group was first constructed by R. L. Griess in 1981 as the group of automorphisms of a certain algebra in Euclidean space of dimension 196884. This chapter describes the simplified construction given in [Con15]. The construction is based on the binary Golay code, the Leech lattice, and a remarkable nonassociative loop (closely related to the Golay code) discovered by R. A. Parker.
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© 1999 Springer Science+Business Media New York
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Conway, J.H. (1999). The Monster Group and its 196884-Dimensional Space. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6568-7_29
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DOI: https://doi.org/10.1007/978-1-4757-6568-7_29
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3134-4
Online ISBN: 978-1-4757-6568-7
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