For example , in the rotation group SO ( 3 ) the maximal tori are given by rotations about a fixed axis .
Thus both SO ( 2n ) and SO ( 2n + 1 ) have rank n .
In the rotation group SO ( 3 ) the maximal tori are given by rotations about a fixed axis .
Thus both SO ( 2n ) and SO ( 2n + 1 ) have rank n .