# arithmetic kleinian groupの例文

- As in the Fuchsian case
*arithmetic Kleinian groups* are discrete subgroups of finite covolume. - The construction of
*arithmetic Kleinian groups* from quaternion algebras gives rise to particularly interesting hyperbolic manifolds. - They are not cocompact, and any
*arithmetic Kleinian group* which is not commensurable to a conjugate of a Bianchi group is cocompact. *Arithmetic Kleinian groups* are constructed similarly except that F is required to have exactly one complex place and A to be the Hamilton quaternions at all real places.- The subgroups of \ mathrm { PSL } _ 2 ( \ mathbb C ) commensurable to those obtained by this construction are called "
*arithmetic Kleinian groups* ".