Generating the Möbius group with involution conjugacy classes
Generating the Möbius group with involution conjugacy classes
A $k$-involution is an involution with a fixed point set of codimension $k$. The conjugacy class of such an involution, denoted $S_k$, generates $\text {M\"ob}(n)$(the group of isometries of hyperbolic $n$-space) if $k$ is odd and its orientation-preserving subgroup if $k$ is even. In this paper, we supply effective lower …