GroupTheory`
GroupTheory`
GTProductGroup
GTProductGroup[group1, group2]
forms the product of group1 and group2 and checks, if the product of the two groups forms a correct direct or semidirect product.
Details and Options
- If the group
contains two proper subgroups 
and 
and
if for all
and 
with 
, 
, every element of 
can be written as a product of an element of 
with an element of 
, - than
is a direct product of 
and 
: 
. - The following options can be given:
-
GOFast GOFastValue Controls the input validation - See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.4.
