Bimonster

From Wikipedia, the free encyclopedia

In mathematics, the Bimonster is a group that is the wreath product of the Monster group M with Z₂:

The Bimonster is also a quotient of the Coxeter group corresponding to the Coxeter-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; this was proved in 1990 by A. A. Ivanov and Simon P. Norton.

[edit] Related groups

Name (related uniform polytope)	Ynnn	Coxeter group	Coxeter-Dynkin diagram
B4 (24-cell)	Y111	[31,1,1]
E~6 (222 honeycomb)	Y222	[32,2,2]
	Y333	[33,3,3]
	Y444	[34,4,4]
Bimonster	Y555	[35,5,5]

[edit] External links

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