Reference : The Farrell--Tate and Bredon homology for PSL_4(Z) via cell subdivisions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
The Farrell--Tate and Bredon homology for PSL_4(Z) via cell subdivisions
Bui, Anh Tuan [University of Science - Ho Chi Minh City, Vietnam > Faculty of Math & Computer Science]
Rahm, Alexander mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Wendt, Matthias [Leibniz-Universitaet Hannover > Institut fuer Algebraische Geometrie]
In press
Journal of Pure and Applied Algebra
Yes (verified by ORBilu)
[en] Cohomology of arithmetic groups
[en] We provide some new computations of Farrell–Tate and Bredon (co)homology for arithmetic groups. For calculations of Farrell–Tate or Bredon homology, one needs cell complexes where cell stabilizers fix their cells pointwise. We provide two algorithms computing an efficient subdivision of a complex to achieve this rigidity property. Applying these algorithms to available cell complexes for PSL_4(Z) provides computations of Farrell–Tate cohomology for small primes as well as the Bredon homology for the classifying spaces of proper actions with coefficients in the complex representation ring.
Mathematics Reseach Unit
Gabor Wiese's Université du Luxembourg grant AMFOR
FnR ; FNR6543139 > Gabor Wiese > COMFGREP > Computational aspects of modular forms and p-adic Galois representations > 01/08/2013 > 31/07/2016 > 2013

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