[GAP Forum] Constructing wreath products (and other things)

[Martyn Quick]

First I'll begin by apologising if this is not where I'm supposed to 
place such queries.  Should it go to  support  instead?

I'm trying to construct a wreath product in such a way I can find my 
standard generators very easily.

For example, I've just tried:

A := CyclicGroup(3);
B := CyclicGroup(9);
W := WreathProduct(A,B)

which all seems fine... but how do I get hold of my favourite 
generators for this wreath product?  (i.e., an element in the base 
group and an element generating my top group).

As a more general comment, is there anywhere where I one has a page 
containing the commands to construct all things one might meet in, 
say, an advanced undergraduate course on group theory?  It would be 
extremely helpful if such a page existed as I find it takes a long 
time to find the function I'm after.

Yours,
Martyn
-- 
Martyn Quick, Lecturer in Pure Mathematics, University of St Andrews
http://www-groups.mcs.st-and.ac.uk/~martyn/