EXOTIC COHOMOLOGY FOR GLn(Z[1/2])

نویسندگان

  • W. G. Dwyer
  • W. G. DWYER
چکیده

There is some evidence for this conjecture. Mitchell [14] and Henn [10] have proved it for n ≤ 3. Voevodsky has announced a proof of the mod 2 QuillenLichtenbaum Conjecture for Z, and from [5] and [14] it follows that ι∗n is injective on the image of H∗(BGL(Λ);F2) −→ H ∗(BGn;F2). In particular, 1.1 is true in the stable range. The aim of this paper, though, is to give a disproof of Conjecture 1.1.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The codimension-one cohomology of SLnZ

We prove that H( n 2)(SLn Z;Q) = 0, where ( n 2 ) is the cohomological dimension of SLn Z, and similarly for GLn Z. We also prove analogous vanishing theorems for cohomology with coefficients in a rational representation of the algebraic group GLn. These theorems are derived from a presentation of the Steinberg module for SLn Z whose generators are integral apartment classes, generalizing Manin...

متن کامل

Endoscopy and the cohomology of $GL(n)$

Let $G = {rm Res}_{F/mathbb{Q}}(GL_n)$ where $F$ is a number field‎. ‎Let $S^G_{K_f}$ denote an ad`elic locally symmetric space for some level structure $K_f.$ Let ${mathcal M}_{mu,{mathbb C}}$ be an algebraic irreducible representation of $G({mathbb R})$ and we let $widetilde{mathcal{M}}_{mu,{mathbb C}}$ denote the associated sheaf on $S^G_{K_f}.$ The aim of this paper is to classify the data ...

متن کامل

THE RING GENERATED BY THE ELEMENTS OF DEGREE 2 IN H(Un(Fp),Z)

We compute all the relations in cohomology satisfied by the elements of degree two of H∗(Un(Fp), Z) where p ≥ n and Un(Fp) is the group of of upper triangular matrices of GLn(Fp) with 1 on the main diagonal. e-mail: [email protected]

متن کامل

Perfect Forms and the Cohomology of Modular Groups

For N = 5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoï cell complexes attached to the modular groups SLN(Z) and GLN(Z). From this we deduce the rational cohomology of those groups.

متن کامل

Perfect forms, K-theory and the cohomology of modular groups

For N = 5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoï cell complexes attached to the modular groups SLN(Z) and GLN(Z). From this we deduce the rational cohomology of those groups and some information about Km(Z), when m = 5, 6 and 7.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997