For d=2n+1 a positive odd integer, we consider sequences of arithmetic subgroups of SO_0(d,1) and Spin(d,1) yielding corresponding hyperbolic manifolds of finite volume and show that, under appropriate and natural assumptions, the torsion of the associated cohomology groups grows exponentially.

中文翻译：

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算术双曲流形上同调中扭转的指数增长

对于 d=2n+1 一个正奇数整数，我们考虑 SO_0(d,1) 和 Spin(d,1) 的算术子群序列产生相应的有限体积双曲流形，并表明，在适当和自然的假设下，扭转相关的上同调群的数量呈指数增长。