Dear GAP-forum,
In a letter of Jan. 27 Nicolo Sottocornola asked the GAP Forum:
--------------------------------------------------------------- let G be the subgroup of SO(4) generated by exp(t K), t in R and B = diag(1,1,-1,-1).
K is the matrix
[0, -1, -1, 3] [1, 0, -1, -3] [1, 1, 0, 3] [-3, 3, -3, 0].
Is it possible to study continuos group like this with GAP?
Here is my problem. Maybe someone can provide help (with or without GAP).
Let "a" be a real number and consider the point P=(cos(a), sin(a), 0, 0).
I think that, if "a" is not a multiple of pi/2, then the isotropy
subgroup of P is {Id, B}.
Is it true?
Thanks Nicola.
PS The isotropy subgroup of P is {g in G s.t. g(P)=P}. ---------------------------------------------------------------
So far no Forum member has answered and also a reminder around the GAP
team did not produce any reaction. So it appears that unfortunately
GAP cannot help answer this question. Continuous groups are a topic
really not covered by GAP.
May I recomend, however, to send this query to the group-pub-forum,
which is read by a wider community of group theorists.
Sorry, we can't help this time, Joachim Neubueser
Miles-Receive-Header: reply