Structure theorem for the rotation group over \(\mathbb{Q}\)
The authors prove that the 3-dimensional rotation group \(\text{SO}_3(\mathbb{Q})\) over the rational numbers is not a simple group, and the set of square matrices in \(\text{SO}_3(\mathbb{Q})\) is a normal subgroup of \(\text{SO}_3(\mathbb{Q})\) with index \(\omega\).
scientific article; zbMATH DE number 1880075