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Dear GAP forum,

I'd like to generate a group using two elements A and S: G = <A,S>. I

don't know if this group is finite. Someone can help me?

S = diag(1,1,-1,-1) A = [0, 0, cos(s), -sin(s)] [-sin(t), cos(t), 0, 0] [cos(t), sin(t), 0, 0] [0, 0, sin(s), cos(s)]

with

cos(t) := 1/4 + 1/4 sqrt(5) sin(t) := 1/4 sqrt(2) sqrt(5 - sqrt(5)) cos(s):= 3/4 - 1/4 sqrt(5) sin(s):= 1/4 sqrt(2 + 6 sqrt(5))

Thank you, Nicola.

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