MathDB
Miklos Schweitzer 1980_4

Source: SL(n,Z)

January 28, 2009
linear algebramatrixlinear algebra unsolved

Problem Statement

Let T \in \textsl{SL}(n,\mathbb{Z}), let G G be a nonsingular n×n n \times n matrix with integer elements, and put S\equal{}G^{\minus{}1}TG. Prove that there is a natural number k k such that S^k \in \textsl{SL}(n,\mathbb{Z}). Gy. Szekeres
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