ATLAS: Monster group M

Order = 808017424794512875886459904961710757005754368000000000.
Mult = 1.
Out = 1.

Standard generators

Standard generators of the Monster group M are a and b where a is in class 2A, b is in class 3B, and ab has order 29.


There are no representations available (yet!).

Update 29th May 1997: generators for the Monster in its 196882-dimensional representation over GF(2) now exist on computer. They are in a special format, requiring special programmes to use them, so they are not being made generally available at this time.

Update 19th November 1997: standard generators can now be made as 196882 x 196882 matrices over GF(2), for the cost of a few days of CPU time, but we do not have enough room to write down the answer.

Update 15th December 1998: standard generators have now been made as 196882 x 196882 matrices over GF(2) - this took about 8 hours CPU time on a pentium machine. They have been multiplied together, using most of the computing resources of Lehrstuhl D für Mathematik, RWTH Aachen, for about 45 hours - completed 05:40 on Dec 14th.

Please enquire by email if you require any further information.

- Return to main ATLAS page. - Last updated 15.12.98