grandes-ecoles 2014 QI.D.2

grandes-ecoles · France · centrale-maths2__pc Matrices Linear Transformation and Endomorphism Properties
We denote by $p(n)$ the largest integer $p \geqslant 1$ such that $E$ admits an H-system of cardinality $p$. Show that if $n = 2^d m$ with $m$ odd, then $p(n) \leqslant 2d + 1$.
We denote by $p(n)$ the largest integer $p \geqslant 1$ such that $E$ admits an H-system of cardinality $p$.\\
Show that if $n = 2^d m$ with $m$ odd, then $p(n) \leqslant 2d + 1$.