grandes-ecoles 2014 QI.A.3

grandes-ecoles · France · centrale-maths2__psi Groups Subgroup and Normal Subgroup Properties

Show that the set $O ( 1 , p )$ is a subgroup of $G L _ { p + 1 } ( \mathbb { R } )$ and that $O ^ { + } ( 1 , p )$ is a subgroup of $O ( 1 , p )$.

Show that the set $O ( 1 , p )$ is a subgroup of $G L _ { p + 1 } ( \mathbb { R } )$ and that $O ^ { + } ( 1 , p )$ is a subgroup of $O ( 1 , p )$.