The mod 2 cohomology rings of congruence subgroups in the Bianchi groups

Ethan Berkove; Grant S. Lakeland; Alexander D. Rahm

doi:10.1007/S10801-019-00912-8

The mod 2 cohomology rings of congruence subgroups in the Bianchi groups

Ethan Berkove, Grant S. Lakeland, Alexander D. Rahm

Eastern Illinois University

Research output: Contribution to journal › Article › peer-review

Original language	American English
Journal	Journal of Algebraic Combinatorics
DOIs	https://doi.org/10.1007/S10801-019-00912-8
State	Published - Dec 2 2019

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Mathematics
Discrete Mathematics and Combinatorics

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title = "The mod 2 cohomology rings of congruence subgroups in the Bianchi groups",

author = "Ethan Berkove and Lakeland, {Grant S.} and Rahm, {Alexander D.}",

note = "We provide new tools for the calculation of the torsion in the cohomology of congruence subgroups in the Bianchi groups : An algorithm for finding particularly useful fundamental domains, and an analysis of the equivariant spectral sequence combined with torsion subcomplex reduction.",

year = "2019",

month = dec,

day = "2",

doi = "10.1007/S10801-019-00912-8",

language = "American English",

journal = "Journal of Algebraic Combinatorics",

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TY - JOUR

T1 - The mod 2 cohomology rings of congruence subgroups in the Bianchi groups

AU - Berkove, Ethan

AU - Lakeland, Grant S.

AU - Rahm, Alexander D.

N1 - We provide new tools for the calculation of the torsion in the cohomology of congruence subgroups in the Bianchi groups : An algorithm for finding particularly useful fundamental domains, and an analysis of the equivariant spectral sequence combined with torsion subcomplex reduction.

PY - 2019/12/2

Y1 - 2019/12/2

UR - https://hal.archives-ouvertes.fr/hal-01565065

U2 - 10.1007/S10801-019-00912-8

DO - 10.1007/S10801-019-00912-8

M3 - Article

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

ER -

The mod 2 cohomology rings of congruence subgroups in the Bianchi groups

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