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Journal articles
Verification of the Quillen conjecture in the rank 2 imaginary quadratic case
Abstract : We confirm a conjecture of Quillen in the case of the mod 2 coho-mology of arithmetic groups SL2(O Q(√ −m) [ 1 2 ]), where O Q(√ −m) is an imaginary quadratic ring of integers. To make explicit the free module structure on the cohomology ring conjectured by Quillen, we compute the mod 2 cohomology of SL2(Z[ √ −2 ][ 1 2 ]) via the amalgamated decomposition of the latter group.
Cited literature [22 references]
https://hal-upf.archives-ouvertes.fr/hal-02548734
Contributor : Elodie Delcambre-Maillard Connect in order to contact the contributor
Submitted on : Monday, April 20, 2020 - 9:25:05 PM
Last modification on : Monday, November 15, 2021 - 7:30:02 PM
Contributor : Elodie Delcambre-Maillard Connect in order to contact the contributor
Submitted on : Monday, April 20, 2020 - 9:25:05 PM
Last modification on : Monday, November 15, 2021 - 7:30:02 PM
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1708.02545.pdf
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