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] |    |
| T7 or E~6 (E6 honeycomb) |
Y222 | [32,2,2] |   |
| Y333 | [33,3,3] | |
|
| Y444 | [34,4,4] | |
|
| Bimonster | Y555 | [35,5,5] | |
[edit] External links
- Eric W. Weisstein, Bimonster at MathWorld. (Note: incorrectly named here as [36,6,6])
