منابع مشابه
Stability in the homology of congruence subgroups
The homology groups of many natural sequences of groups {Gn}n=1 (e.g. general linear groups, mapping class groups, etc.) stabilize as n→ ∞. Indeed, there is a well-known machine for proving such results that goes back to early work of Quillen. Church and Farb discovered that many sequences of groups whose homology groups do not stabilize in the classical sense actually stabilize in some sense a...
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In this paper, we investigate the homology of finite index subgroups Gi of a given finitely presented group G. We fix a prime p, denote the field of order p by Fp, and define dp(Gi) to be the dimension of H1(Gi;Fp). We will be interested in the situation where dp(Gi) grows fast as a function of the index [G : Gi]. Specifically, we say that a collection of finite index subgroups {Gi} has linear ...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2008
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2008.12.1995