The GAP 4 package `Guarana'
========================

In this package we demonstrate the algorithmic usefulness of the
so-called Mal'cev correspondence for computations with infinite polycyclic
groups; it is a correspondence
that associates to every $\Q$-powered nilpotent group $H$ a
unique rational nilpotent Lie algebra $L_H$ and vice-versa.
The Mal'cev correspondence was discovered
by Anatoly Mal'cev in 1951.

 
Installing this package
=======================

The Guarana package is part of the standard distribution of GAP and
so normally there should be no need to install it separately.

If by any chance it is not part of your GAP distribution, then 
this package is available at
        
     www.gap-system.org/Packages/packages.html
                                                                           
in form of a gzipped tar-archive and as an uncompressed tar-archive.
The standard method is to unpack the package into the `pkg'
directory  of your GAP distribution.  This will create a `guarana'
subdirectory. 
For other non-standard options please see  Chapter 74.1 
in the GAP Reference Manual.

Note that the GAP-Packages Alnuth, Polycyclic and RadiRoot 
are needed for this package.
Normally they should be contained in your distribution. If not 
they can be obtained at

     www.gap-system.org/Packages/packages.html


Loading the Guarana package
==========================

If the  Package is not already loaded 
then you have to request it explicitly. 
This  can be 
done by `LoadPackage("guarana")'.
The `LoadPackage' command is described in Section 72.2.1
in the GAP Reference Manual.


Running the test suite
======================

Once the package is installed, it is possible to check the correct
installation by running the test suite of the package.

    gap> Read( "mygap/pkg/guarana/tst/testall.g" );

where `mygap' needs to be replaced with the directory where GAP
was installed. For more details on  Test Files see 
Section 7.9 of the 
GAP Reference Manual.

If the test suite runs into an error, 
then please send a message
to `bjoern@mcs.st-and.ac.uk' including the error message.
                                 
Author
======
 
The Guarana package was written by:
 
  Bjoern Assmann, 
  Mathematical Institute
  University of St. Andrews
  North Haugh
  St. Andrews
  Fife
  KY16 9SS
  Scotland, UK
  e-mail: bjoern@mcs.st-and.ac.uk