Abstract
It is known that an arithmetic group has only finitely many conjugacy classes of finite subgroups. We generalize this result to groups which are finite extensions of arithmetic groups. We also prove that many (but not all) of these groups are again arithmetic groups. We construct a finitely generated subgroup of GL ( 4. ℤ ) which has infinitely many conjugacy classes of subgroups of order 4.
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More From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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