Bicharacters of semigroups.
Bicyclic commutator quotients with one non-elementary component
For any number field with non-elementary -class group , , the punctured capitulation type of in its unramified cyclic cubic extensions , , is an orbit under the action of . By means of Artin’s reciprocity law, the arithmetical invariant is translated to the punctured transfer kernel type of the automorphism group of the second Hilbert -class field of . A classification of finite -groups with low order and bicyclic commutator quotient , , according to the algebraic invariant...
Big groups of automorphisms of some Klein surfaces.
Sea Xp una superficie de Klein compacta con borde de gen algebraico p ≥ 2. Se sabe que si G es un grupo de automorfismos de Xp entonces |G| ≤ 12(p- 1). Se dice que G es un grupo grande de gen p si |G| > 4(p -1). En el presente artículo se halla una familia de enteros p para los que el único grupo grande de gen p son los grupos diédricos. Esto significa que, en términos del gen real introducido por C. L. May, para tales valores de p no existen grupos grandes de gen real p.
Bi-ideals in Clifford ordered semigroup
In this paper we characterize both the Clifford and left Clifford ordered semigroups by their bi-ideals and quasi-ideals. Also we characterize principal bi-ideal generated by an ordered idempotent in a completely regular ordered semigroup.
Bi-infinitary codes
Bijection between bigrassmannian permutations maximal below a permutation and its essential set.
Bijective reflexions and coreflexions of commutative unars
Bilateral semidirect products of transformation semigroups.
Bilinear forms for SL(2,q), An and similar groups.
The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
Bilinear three-cycles on the projective line.
Binary Polyhedral Groups and Euclidean Diagrams.
Binary relations on the monoid of V-proper hypersubstitutions
In this paper we consider different relations on the set P(V) of all proper hypersubstitutions with respect to a given variety V and their properties. Using these relations we introduce the cardinalities of the corresponding quotient sets as degrees and determine the properties of solid varieties having given degrees. Finally, for all varieties of bands we determine their degrees.
Binary words avoided by the Thue-Morse sequence.
Binomial Skew Polynomial Rings, Artin-Schelter Regularity, and Binomial Solutions of the Yang-Baxter Equation
2000 Mathematics Subject Classification: Primary 81R50, 16W50, 16S36, 16S37.Let k be a field and X be a set of n elements. We introduce and study a class of quadratic k-algebras called quantum binomial algebras. Our main result shows that such an algebra A defines a solution of the classical Yang-Baxter equation (YBE), if and only if its Koszul dual A! is Frobenius of dimension n, with a regular socle and for each x, y ∈ X an equality of the type xyy = αzzt, where α ∈ k {0, and z, t ∈ X is satisfied...
Biordered sets and complemented modular lattices.
Biordered sets of bands.
Bipartition orders and statistics on words. (Ordres bipartitionnaires et statistiques sur les mots.)
Biregular semigroups. I
Biregular semigroups. II
Bisections reconnaissables