MathDB

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

<span class='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

Problem Statement