Bianchi群的同余子群塔的同调挠率的指数增长性
Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups
摘要：
本文证明了对于Bianchi群的适当的同余子群序列，包括同余子群的标准穷举序列，以及Sl_2（C）的标准表示的偶对称幂，第一同调的挠部分的大小指数增长.这将Bergeron和Venkatesh的结果推广到非均匀格的情况。
英文摘要：
In this paper we prove that for suitable sequences of congruence subgroups of Bianchi groups, including the standard exhaustive sequences of a congruence subgroup, and even symmetric powers of the standard representation of Sl_2(C) the size of the torsion part in the first homology grows exponentially. This extends results of Bergeron and Venkatesh to a case of non-uniform lattices.
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