Bisimple semigroups with idempotents well-ordered.
Bistable orderings on a certain class of semigroups.
Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem
It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms ϕ and ψ is equal to the number of coincidence points of ϕ̂ and ψ̂ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally, we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.
Bivariate copulas: Transformations, asymmetry and measures of concordance
The present paper introduces a group of transformations on the collection of all bivariate copulas. This group contains an involution which is particularly useful since it provides (1) a criterion under which a given symmetric copula can be transformed into an asymmetric one and (2) a condition under which for a given copula the value of every measure of concordance is equal to zero. The group also contains a subgroup which is of particular interest since its four elements preserve symmetry, the...
Bloc et séries de Lusztig dans un groupe réductif fini.
Block Structure of the Smallest Janko Group.
Block systems of a Galois group.
Blocking sets which are preserved by transitive collineation groups.
Blocks and Defect Groups of Monomial Groups.
Blocks for symmetric groups and their covering groups and quadratic forms.
Blocks of modular representations.
Blocks, solvable permutation groups, and Landau's theorem.
Blocks, Vertices and Normal Subgroups.
Blocks with Dihedral Defect Groups in Solvable Groups.
Bol loop actions.
Bol loop actions
The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].
Bol loops with a large left nucleus
Possession of a unique nonidentity commutator/associator is a property which dominates the theory of loops whose loop rings, while not associative, nevertheless satisfy an ``interesting'' identity. Indeed, until now, with the exception of some ad hoc examples, the only known class of Bol loops whose loop rings satisfy the right Bol identity have this property. In this paper, we identify another class of loops whose loop rings are ``strongly right alternative'' and present various constructions of...
Bol-loops of order
In this article we construct proper Bol-loops of order using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.
Boolean groupoids
Bootstrapping in convergence groups.