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Topic: Bimonster


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In the News (Mon 28 May 12)

  
  Bimonster - Wikipedia, the free encyclopedia
In mathematics, the Bimonster is a group that is the wreath product of the Monster group M with Z
The Bimonster is also a quotient of the Coxeter group corresponding to the Coxeter-Dynkin diagram Y
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.
en.wikipedia.org /wiki/Bimonster   (93 words)

  
 Citebase - The complex Lorentzian Leech lattice and the bimonster   (Site not responding. Last check: 2007-10-31)
The complex Lorentzian Leech lattice and the bimonster
We find 26 reflections in the automorphism group of the the Lorentzian Leech lattice L over Z[exp(2*pi*i/3)] that form the Coxeter diagram seen in the presentation of the bimonster.
We prove that these 26 reflections generate the automorphism group of L. We find evidence that these reflections behave like the simple roots and the vector fixed by the diagram automorphisms behaves like the Weyl vector for the refletion group.
citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0508228   (149 words)

  
 selling waves: Synchronicity
Of course, I think my favorite beast number property is that, writing the parameters of Coxeter’s notation side-by-side, the bimonster can be denoted by 666.
Which is interesting because the bimonster is the wreathed product of the monster group by Z
For those that have no idea what I’m talking about, just take it on faith that the monster group, as one might guess from its name, has a sort of mythical cachet among (certain types of) mathematicians.
www.sellingwaves.com /archives/2004/04/04/synchronicity   (1897 words)

  
 Academic   (Site not responding. Last check: 2007-10-31)
1997 "Hyperbolic Reflection Groups, the Monster and the Bimonster".
"Hyperbolic Reflection Groups, the Monster and the Bimonster".
Basak, Tathagata, "Complex Lorentzian Leech lattice and Bimonster", arXiv:math.GR/0508228 (2005, to appear in the Journal of Algebra 2006).
users.rowan.edu /~simons/past.html   (1233 words)

  
 UT - math Calendar
Let D be the incidence graph of the projective plane over the finite field of three elements.
It is very curious that D occurs as a "coxeter diagram" in the presentation of the following two groups: (1) a large finite group known as the bimonster, and (2) the (infinite) automorphism group of the complex lorentzian Leech lattice.
Most of the talk will be devoted to describing the diagram D as a Coxeter-Dynkin diagram for the reflection group (2) in some detail.
www.ma.utexas.edu /cgi-pub/seminar/calendar?year=2005&month=11&day=10   (785 words)

  
 Mathematics Tasmania Colloquia Page for 1999
The Monster group is the largest of the so-called sporadic simple groups.
One of the most surprising results about it is that there are surprisingly simple presentations for its wreathed square (called the BIMONSTER) in which the generators correspond to the 13 points and 13 lines of the projective plane of order 3.
It will be shown how this comes about and a few conjectures will be made.
hilbert.maths.utas.edu.au /HomePage/Coll99.html   (3937 words)

  
 Cat photos, pictures and stories for Bimo, a male American Shorthair/Breed Unknown. What a great cat!   (Site not responding. Last check: 2007-10-31)
Cat photos, pictures and stories for Bimo, a male American Shorthair/Breed Unknown.
Bimster, Bimorino, Bimonster, Bimo-skideemo, BeemBeemBaDeemBeem, Plan 9 From Outer Space
The ability to run full speed into a closed window often and never learn his lesson
www.catster.com /pet_page.php?i=135317&j=t   (218 words)

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