Reference : Verification of the Quillen conjecture in the rank 2 imaginary quadratic case
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/39373
Verification of the Quillen conjecture in the rank 2 imaginary quadratic case
English
Rahm, Alexander mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Bui, Anh Tuan []
Undated
12
No
[en] We confirm a conjecture of Quillen in the case of the mod 2 cohomology of arithmetic groups SL_2(A[1/2]), where A 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 SL_2(Z[sqrt(−2)][1/2]) via the amalgamated decomposition of the latter group.
Researchers
http://hdl.handle.net/10993/39373
https://arxiv.org/abs/1708.02545

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