Borders and roots of a word
Borel semigroups and probabilities.
Boundaries of right-angled hyperbolic buildings
We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Bounded Baer-Levi semigroups.
Bounded cohomology of lattices in higher rank Lie groups
We prove that the natural map from bounded to usual cohomology is injective if is an irreducible cocompact lattice in a higher rank Lie group. This result holds also for nontrivial unitary coefficients, and implies finiteness results for : the stable commutator length vanishes and any –action on the circle is almost trivial. We introduce the continuous bounded cohomology of a locally compact group and prove our statements by relating to the continuous bounded cohomology of the ambient group...
Bounded derivations on commutative semigroups.
Bounded generation and Kazhdan’s property
Bounded generation of (after D. Carter, G. Keller, and E. Paige).
Bounded geometry in relatively hyperbolic groups.
Bounded, separating, incompressible surfaces in knot manifolds.
Bounding the complexity of simplicial group actions on trees.
Bounding the number of edges in permutation graphs.
Bounding the orders of finite subgroups.
We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.
Bounding the Rank of Certain Permutation Groups.
Bounds for quaternionic line systems and reflection groups.
Bounds on the index and period of a binary relation on a finite set.
Bouts d'un groupe opérant sur la droite, I : théorie algébrique
On étudie les morphismes d’un groupe infini discret dans un groupe de Lie contenu dans le groupe des difféomorphismes de la droite réelle. À un tel morphisme , on associe deux ensembles de “bouts” de “dans la direction” . On calcule le nombre de bouts dans plusieurs situations. Dans le cas particulier où est de type fini et où est le groupe des translations, n’a qu’un bout dans la direction si, et seulement si, ils vérifient la propriété de Bieri-Neumann-Strebel.
B-pologrupy
Braid group action, embedding problems and the groups PGLn(q), Pun(q2).
Braided surfaces and Seifert ribbons for closed braids.