Bimonster group

In mathematics, the bimonster is a group that is the wreath product of the monster group M with Z₂:

$Bi = M \wr \mathbb{Z}_2. \,$

The Bimonster is also a quotient of the Coxeter group corresponding to the Dynkin diagram Y₅₅₅, a Y-shaped graph with 16 nodes:

John H. Conway conjectured that a presentation of the bimonster could be given by adding a certain extra relation to the presentation defined by the Y₅₅₅ diagram; this was proved in 1990 by A. A. Ivanov and Simon P. Norton.

See also

• Triality - simple Lie group D₄, Y₁₁₁

References

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External links

• Weisstein, Eric W., "Bimonster", MathWorld. (Note: incorrectly named here as [3^6,6,6])