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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

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