For what values of n does the group \textsl{SO}(n) of all orthogonal transformations of determinant 1 of the n-dimensional Euclidean space possess a closed regular subgroup?( \textsl{G}<\textsl{SO}(n) is called <spanclass=′latex−italic′>regular</span> if for any elements x,y of the unit sphere there exists a unique \varphi \in \textsl{G} such that \varphi(x)\equal{}y.)
Z. Szabo group theoryabstract algebrageometry3D geometryspheresuperior algebrasuperior algebra unsolved