Euclidian and Hyperbolic rotations

[neerajareen]

Do hyperbolic rotations of euclidian space and ordinary rotations of euclidian space form a group?

 

[micromass]

Yes, the ordinary rotations form a group called $SO(n)$. The hyperbolic rotations also form a group, that's apparently called $SO^+(1,1)$.

 

[neerajareen]

No I meant, can they form a group together. Can they be put in the same group? Just like how Lorentz boosts and rotations are combined into the Lorentz group?