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9 votes

Proper subgroup of GL(n,Z) isomorphic to GL(n,Z)?

For $G=GL(2,\mathbb Z)$ there is no proper subgroup isomorphic to it. Consider the dihedral group $D$ of isometries of a regular 6-gon. There is only one conjugacy class in $G$ of subgroups isomorphic …
Wilberd van der Kallen's user avatar