Braiding of the attractor and the failure of iterative algorithms.
Braids and invariants of 3-manifolds.
Braids: generalizations, presentations and algorithmic properties.
Braids in Pau – An Introduction
In this work, we describe the historic links between the study of -dimensional manifolds (specially knot theory) and the study of the topology of complex plane curves with a particular attention to the role of braid groups and Alexander-like invariants (torsions, different instances of Alexander polynomials). We finish with detailed computations in an example.
Branching rules for modular representations of symmetric groups, II.
Brauer Correspondence and Characters of Height Zero of Monomial Groups.
Brauer relations in finite groups
If is a non-cyclic finite group, non-isomorphic -sets may give rise to isomorphic permutation representations . Equivalently, the map from the Burnside ring to the rational representation ring of has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave–Bouc classification in the case of -groups.
Brauer Trees in GL(n, q).
Breaking points in the poset of conjugacy classes of subgroups of a finite group
We determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion -groups. A generalization of this property is also studied.
Bruhat intervals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials.
Bruhat-Tits theory from Berkovich’s point of view. I. Realizations and compactifications of buildings
We investigate Bruhat-Tits buildings and their compactifications by means of Berkovich analytic geometry over complete non-Archimedean fields. For every reductive group over a suitable non-Archimedean field we define a map from the Bruhat-Tits building to the Berkovich analytic space associated with . Composing this map with the projection of to its flag varieties, we define a family of compactifications of . This generalizes results by Berkovich in the case of split groups. Moreover,...
Brunnian links
A Brunnian link is a set of n linked loops such that every proper sublink is trivial. Simple Brunnian links have a natural algebraic representation. This is used to determine the form, length and number of minimal simple Brunnian links. Braids are used to investigate when two algebraic words represent equivalent simple Brunnian links that differ only in the arrangement of the component loops.
Building Buildings.
Building semigroups from groups (and reduced semigroups).
Buildings and non-positively curved polygons of finite groups.
Buildings and shadows.
Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture.
Butler groups and lattices of types
Butler groups and Shelah's Singular Compactness
A torsion-free group is a -group if and only if it has an axiom-3 family of decent subgroups such that each member of has such a family, too. Such a family is called -family. Further, a version of Shelah’s Singular Compactness having a rather simple proof is presented. As a consequence, a short proof of a result [R1] stating that a torsion-free group in a prebalanced and TEP exact sequence is a -group provided and are so.
Butler groups cannot be classified by certain invariants