This is, of course, almost trivial in this simple case. Most of the point
groups I will be working with are not abelian, and have more than four
elements. The most complex case I have been able to solve with the other
program, so far, was an icosahedral crystal having six lattice vectors and a
point group of order 120...this took over two hours on a 2.1GHz computer.

Is it possible to automate this in GAP and calculate the 1-chains, 2-chains,
1-cycles, 1-boundaries and H_1 for this type of problem?

Any help is very greatly appreciated.

Jack Huesman
Department of Physics
University of South Florida