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Basic Package Documentation

Version 1.0

May 2008

Tom Hoffman
Email: thoffman@coastal.edu

Klaus Lux
Email: klux@math.arizona.edu

Abstract

This package calculates the basic algebra which is Morita equivalent to a block of a group algebra of a finite group in characteristic dividing the order of the group. GAP must be able to access the table of marks and the modular character table for the group. It is beneficial, but not required, for GAP to have access to the Atlas of Finite Group Representations via the AtlasRep package.

Copyright

© 2006 by Tom Hoffman and Klaus Lux

Acknowledgements

This documentation was prepared with the GAPDoc package of Frank Lübeck and Max Neunhöffer.

Contents

1 Introduction
2 User Functions
3 Constructing Basic Algebras
4 Other Functions in the Basic Package
A Variables
B A note on algebra generators

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