Dear GAP-Forum,
Vincent Chaudrelier wrote:
I've tried with F4 by defining it as a matrix group then typing
something like "Stabilizer(F4,[[1],[0],[0],[0]]);" but I suspect
this is
not doing what I want but rather it gives the stability group of the
group element corresponding to the reflection associated to e_1 and
not
the stability group of e_1 itself.
GAP acts consistently from the right, i.e. matrix groups act on row
vectors. What you give as object to be stabilized looks like a matrix
with one column, this is not a well-defined action.
Stabilizer(F4,[1,0,0,0]) should give the desired result.
Best,
Alexander Hulpke
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