[GAP Forum] Converting lists of groups into direct products
Nick.Gill
Nick.Gill at open.ac.uk
Fri Jun 21 16:31:50 BST 2013
Hello GAP-forum,
I'm new to the group, so not familiar with the protocol. Forgive me if I'm asking a stupid question and/or omitting vital information...
I have a list of groups - grouplist - and two lists of elements - elist1, elist2 - such that, for each index i, elist1[i] and elist2[i] are members of grouplist[i].
Now I use the command
D:= DirectProduct(grouplist)
Here's what I want to do next:
(1) I would like to convert elist1, elist2 into a format where GAP recognises them as members of D, i.e. I want to convert them from being lists into tuples.
(2) Find the subgroup of D generated by elist1 and elist2.
It's (1) that I'm having trouble with - how do I do it?!
The groups in grouplist, incidentally, are either permutation groups or quotients of the free group on 2 letters. I don't know if this fact is important...
All replies appreciated. Warning: I'm extremely ignorant at GAP so have limited capacity to understand complicated responses!
Nick
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