[GAP Forum] Product of Subgroups in a Group

[rahul kitture]

Given two subgroups $H$ and $K$ of a finite group (say Symmetric/
Alternating Group), how do we
compute the product $HK$ in the group? I couldn't find anything from Help
or topics in online library.
Also, given finite number of square (invertible) matrices over a finite
field, how do we get the (multiplicative) group, generated by them?
(The command "GroupWithGenerators(); " does not work with the
elements(generators) to be matrices.

-- 
Rahul D. Kitture
Senior Research Fellow (CSIR),
Bhaskaracharya Pratishthana,
(Research Institute for Mathematics)
www.bprim.org
Pune: 411 004 (India)*.
*