[GAP Forum] About certain mixed products of cyclic groups

[Hebert Pérez-Rosés]

Dear all,

I want to construct all the groups of type (Zm x Zm) \rtimes Zn for given
m,n, but I don't know how to do that in GAP. In relation to that, there
are a few sub-problems (some of a rather group-theoretical nature) for which
I don't know the answer. I will appreciate anyone pointing me to the right
references:

1. What is the group of automorphisms of Zm x Zm, for arbitrary m?
2. How can I express an arbitrary automorphism of Zm x Zm by its action on
the abstract generators "a" and "b" of Zm x Zm ?
3. How can I get a pc presentation of (Zm x Zm) \rtimes Zn in GAP?

Hebert Perez-Roses
The University of Newcastle, Australia.