J. Aguadé

Constructing modular classifying spaces

Using the homotopy limit construction over a certain small category, we construct spaces whose modp cohomology algebras are the rings of invariants of some unitary reflection groups of order divisible byp.

Maps between classifying spaces of Kac¿Moody groups

Abstract We classify up to homotopy the self-maps of the classifying space of any non-affine Kac–Moody group of rank two.

A note on realizing polynomial algebras

We characterize the polynomial algebras overZ which are realizable as the integral cohomology of some space, under the assumption that there are not two generators in the same dimension.

Rank Two Integral Representations of the Infinite Dihedral Group

We give an effective classification of the representations of the infinite dihedral group in GL 2(R) where R is either the valuation ring ℤ(p) or the ring of p-adic integers.

REALIZABILITY OF COHOMOLOGY ALGEBRAS : A SURVEY

Pub. Mat. UABVol. 26 N° 2 Juny 1982REALIZABILITY OF COHOMOLOGY ALGEBRAS:A SURVEYJ. AGUADE(Universitat Autonoma de Barcelona)Rebut el 1 de desembre del 19810. Introduction 271. The Steenrod algebra 282. Secondary cohomology operations 333. K-theory 394 . Rational homotopy 435. Completion 476 . The theorem of Adams and Wilkerson 527. Other results7.1 Generalized cohomology 567.2 Integral cohomology of Ho-spaces 577.3 Realizability of invariant subalgebras 587.4 The algebra Zp[x]®E(y) 607.5 Polynomial algebras on two generators 618. Problems 63

The Arboreal Approach to Pairs of Involutions in Rank Two

We use ideas of J.-P. Serre to obtain a geometric classification of the integral p-adic rank two representations of the infinite dihedral group.

Computing lannesT functor

We compute the value of the functorT of Lannes on a certain class of algebras over the Steenrod algebra which includes polynomial algebras.

Cohomology of Kac–Moody groups over a finite field

We compute the mod

THE TORSION INDEX OF A p-COMPACT GROUP

p

The Functor T and the Cohomology of Mapping Spaces

cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from