Bourgin-Yang versions of the Borsuk-Ulam theorem for $p$-toral groups

Wacław Marzantowicz, Denise de Mattos, Edivaldo L. dos Santos

Let $V$ and $W$ be orthogonal representations of $G$ with $V^G=W^G=\{0\}$. Let $S(V)$ be the sphere of $V$ and $f:S(V)\to W$ be a $G$-equivariant mapping. We give an estimate…