Sous-groupes fonctoriels et relativisations
Splitting Theorems for Certain PD3-Groups.
Splittings of Poincaré Duality Groups.
Subgroups with projective abelianization and trivial multiplicator.
Sucesión exacta de cinco términos.
Sur le module des relations d'un p-groupe et la suite exacte d'inflation-restriction.
Sur les groupes
Sur l’homologie des groupes orthogonaux et symplectiques à coefficients tordus
On calcule dans cet article l’homologie stable des groupes orthogonaux et symplectiques sur un corps fini à coefficients tordus par un endofoncteur usuel des -espaces vectoriels (puissance extérieure, symétrique, divisée...). Par homologie stable, on entend, pour tout entier naturel , les colimites des espaces vectoriels et — dans cette situation, la stabilisation (avec une borne explicite en fonction de et ) est un résultat classique de Charney. Tout d’abord, nous donnons un cadre...
Surfaces and the Second Homology of a Group.
The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
The cyclic homology of the group rings.
The exact sequence in the homology of groups with integral coefficients modulo associated to two normal subgroups
The geometric invariants of direct products of virtually free groups.
The geometry of abstract groups and their splittings.
A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL2 and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD2 groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PDn groups. Notions of quasi-isometry,...
The Gray filtration on phantom maps
This paper is a study of the Gray index of phantom maps. We give a new, tower theoretic, definition of the Gray index, which allows us to study the naturality properties of the Gray index in some detail. McGibbon and Roitberg have shown that if f* is surjective on rational cohomology, then the induced map on phantom sets is also surjective. We show that if f* is surjective just in dimension k, then f induces a surjection on a certain subquotient of the phantom set. If the condition...
The Homological Algebra of Artin Groups.
The Homological Dimension of an Abelian Group as a Module over its Ring of Endomorphisms. III.
The Homological Dimension of an Abelian Group as a Module over Its Ring of Endomorphisms. II.
The homology of Peiffer products of groups.
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.