Geodesic
Mod-$p$ cohomology growth in $p$-adic analytic towers of 3-manifolds
Frank Calegari1 orcid ; Matthew Emerton1
1Northwestern University, Evanston, USA
Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 355-366

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DOI

Let M be a compact 3-manifold with infinite fundamental group Γ. Given a homomorphism from Γ to a p-adic analytic group G with dense image, we describe the possible mod-p homology growth of covers Mn​ of M determined by the congruence subgroups Gn​. If d = dim(G) > 3, this growth is always non-trivial, growing at least as fast as Vol(Mn​)(d−1)/d.
DOI : 10.4171/ggd/131
Classification : 22-XX, 00-XX
Mots-clés : 3-manifolds, homology, lattices

Frank Calegari  1   ; Matthew Emerton  1

1 Northwestern University, Evanston, USA 
Frank Calegari; Matthew Emerton. Mod-$p$ cohomology growth in $p$-adic analytic towers of 3-manifolds. Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 355-366. doi: 10.4171/ggd/131
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     title = {Mod-$p$ cohomology growth in $p$-adic analytic towers of 3-manifolds},
     journal = {Groups, geometry, and dynamics},
     pages = {355--366},
     year = {2011},
     volume = {5},
     number = {2},
     doi = {10.4171/ggd/131},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/131/}
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