# 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.

### Representations

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

R.A.Wilson@bham.ac.uk

richard@ukonline.co.uk