An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.
An alternative proof that the Fibonacci group is infinite.
An alternative way to classify some Generalized Elliptic Curves and their isotopic loops
The Generalized Elliptic Curves are pairs , where is a family of triples of “points” from the set characterized by equalities of the form , where the law makes into a totally symmetric quasigroup. Isotopic loops arise by setting . When , identically is an entropic and is an abelian group. Similarly, a terentropic may be characterized by and is then a Commutative Moufang Loop . If in addition , we have Hall and is an exponent
An Amalgam Related to M_11 and SP_4(3)
An analog of the Baer-Suzuki theorem for infinite groups.
An analogue of Litoff's Theorem.
An analogue of the Duistermaat-van der Kallen theorem for group algebras
Let G be a group, R an integral domain, and V G the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1G of G is equal to zero. Motivated by the Mathieu conjecture [Mathieu O., Some conjectures about invariant theory and their applications, In: Algèbre non Commutative, Groupes Quantiques et Invariants, Reims, June 26–30, 1995, Sémin. Congr., 2, Société Mathématique de France, Paris, 1997, 263–279], the Duistermaat-van der Kallen...
An analytic interpretation of real dimension subgroups.
An application of Burnside rings in elementary finite group theory.
An application of metric diophantine approximation in hyperbolic space to quadratic forms.
For any real τ, a lim sup set WG,y(τ) of τ-(well)-approximable points is defined for discrete groups G acting on the Poincaré model of hyperbolic space. Here y is a 'distinguished point' on the sphere at infinity whose orbit under G corresponds to the rationals (which can be regarded as the orbit of the point at infinity under the modular group) in the classical theory of diophantine approximation.In this paper the Hausdorff dimension of the set WG,y(τ) is determined for geometrically finite groups...
An application of Ramsey's theory to partition in groups. - II
An Application of Simplicial Profinite Groups.
An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem
An approach to automorphisms of free groups and braids via transvections.
An approach to zeta-function of finite factorgraph via the Markov topological chains
An Arithmetic Property of Profinite Groups.
An associative operation on monogenic left distributive systems
Term substitution induces an associative operation on the free objects of any equational variety. In the case of left distributivity, the construction can be extended to any monogenic structure.
An associative operator on the lattice of varieties of inverse semigroups.
An automata-theoretic approach to the study of the intersection of two submonoids of a free monoid
We investigate the intersection of two finitely generated submonoids of the free monoid on a finite alphabet. To this purpose, we consider automata that recognize such submonoids and we study the product automata recognizing their intersection. By using automata methods we obtain a new proof of a result of Karhumäki on the characterization of the intersection of two submonoids of rank two, in the case of prefix (or suffix) generators. In a more general setting, for an arbitrary number of generators,...
An autostable 2 nilpotent group with no Scott family of finitary formulas.