Diophantine approximation with nonsingular integral transformations

S. G. Dani, Arnaldo Nogueira

Let $\Gamma$ be the multiplicative semigroup of all $n\times n$ matrices with integral entries and positive determinant. Let $1\le p\le n-1$ and $V={\mathbb{R}}^n\oplus \cdots \oplus {\mathbb{R}}^n$ ($p…