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Dear Forum Members,

this is an announcement of a database of decomposition matrices

of `bicyclic' extensions of finite simple groups.

For each simple group G of order less than 10^9 in the

Atlas of Finite Groups, the Atlas of Brauer Characters shows the

Brauer character tables for all primes dividing the order of G.

Also, for larger simple groups in the Atlas of Finite Groups,

Brauer character tables at least for some `bicyclic' extensions

and some prime divisors of the group order are known.

A database of both DVI and PostScript files with the known

decomposition matrices of these groups is now available at

http://www.math.rwth-aachen.de/~MOC/decomposition

Many people have been involved in the computations of Brauer character

tables and decomposition matrices, as is stated in Section 17 in the

Introduction to the Atlas of Brauer Characters;

the book lists also several publications about the results.

For further references, see

http://www.math.rwth-aachen.de/~MOC/refs.html

The character tables for which the decomposition matrices are contained

in the database are all available in the computer algebra system GAP,

see one of

http://www-groups.dcs.st-and.ac.uk/~gap/

http://www.math.rwth-aachen.de/LDFM/GAP/

http://www.ccs.neu.edu/mirrors/GAP/

http://wwwmaths.anu.edu.au/research.groups/algebra/GAP/www/

The GAP system provides many functions for computations with

group characters and character tables.

Also this database has been created automatically

from the character table library of GAP.

If you have suggestions how this database can be improved then

feel free to send an e-mail message to

sam@math.rwth-aachen.de

Kind regards,

Thomas Breuer

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