Lower Bounds on the Dimension of the Cohomology of Bianchi Groups via Sczech Cocyles

Lower Bounds on the Dimension of the Cohomology of Bianchi Groups via Sczech Cocyles

Using Sczech cocyles, we compute the traces of certain involutions on the Eisenstein cohomology of principal congruence subgroups of Bianchi groups. These traces, combined with results of [13, 14, 2], give explicit lower bounds for the cuspidal cohomology of these groups. The asymptotic lower bounds...

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Bibliographic Details
Published in:Journal de theorie des nombres de bordeaux Vol. 28; no. 1; pp. 237 - 260
Main Authors: ŞENGÜN, Mehmet Haluk, TÜRKELLI, Seyfi
Format: Journal Article
Language:English
Published: cedram 01-01-2016
Subjects:
Automorphisms
Integers
Mathematical congruence
Mathematical constants
Mathematical theorems
Prime numbers
Online Access:Get full text
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Summary:Using Sczech cocyles, we compute the traces of certain involutions on the Eisenstein cohomology of principal congruence subgroups of Bianchi groups. These traces, combined with results of [13, 14, 2], give explicit lower bounds for the cuspidal cohomology of these groups. The asymptotic lower bounds that follow from our results complement the recent asymptotic upper bounds found in [4, 5, 12].
ISSN:1246-7405
2118-8572
DOI:10.5802/jtnb.937