References of "Wendt, Matthias"
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See detailThe Farrell--Tate and Bredon homology for PSL_4(Z) via cell subdivisions
Bui, Anh Tuan; Rahm, Alexander UL; Wendt, Matthias

in Journal of Pure and Applied Algebra (2019), 223(7), 2872-2888

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 ... [more ▼]

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. [less ▲]

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See detailOn Farrell-Tate cohomology of SL_2 over S-integers
Rahm, Alexander UL; Wendt, Matthias

in Journal of Algebra (2018), 512

In this paper, we provide number-theoretic formulas for Farrell–Tate cohomology for SL_2 over rings of S-integers in number fields satisfying a weak regularity assumption. These formulas describe group ... [more ▼]

In this paper, we provide number-theoretic formulas for Farrell–Tate cohomology for SL_2 over rings of S-integers in number fields satisfying a weak regularity assumption. These formulas describe group cohomology above the virtual cohomological dimension, and can be used to study some questions in homology of linear groups. We expose three applications, to (I) detection questions for the Quillen conjecture, (II) the existence of transfers for the Friedlander–Milnor conjecture, (III) cohomology of SL_2 over number fields. [less ▲]

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See detailA refinement of a conjecture of Quillen
Rahm, Alexander UL; Wendt, Matthias

in Comptes Rendus. Mathématique (2015), 353(9), 779--784

Detailed reference viewed: 122 (8 UL)