Add to ORKGAbstract. Let Γ be a finitely generated group with a given word metric. The asymptotic density of elements in Γ that have a particular property P is the limit, as r → ∞, of the proportion of elements in the ball of radius r which have the property P. We obtain a formula to compute the asymptotic density of finite-order elements in any virtually nilpotent group. Further, we show that the spectrum of numbers that occur as such asymptotic densities consists of exactly the rational numbers in [0, 1). 1
Abstract. We prove that if a finitely presented group is one-ended then its asymptotic dimension is ...
By allowing values in non-Archimedean extensions of the unit interval, we consider finitely additive...
Abstract. We will deal with finitely additive measures on integers extending the asymptotic density....
AbstractLet Γ be a finitely generated group with a given word metric. The asymptotic density of elem...
Let Γ be a finitely generated group with a given word metric. The asymptotic density of elements in ...
Let B be a subset of the set of all isomorphism classes of finite groups. We consider the number Fg(...
AbstractLet T be a subset of the set of all isomorphism classes of finite groups. We consider the nu...
AbstractLet N denote the set of positive integers. The asymptotic density of the set A⊆N is d(A)=lim...
AbstractIn this paper we study satisfiability of random equations in an infinite finitely generated ...
For a group G and a positive real number x, define dG(x) to be the number of integers less than x wh...
AbstractLet T be a subset of the set of all isomorphism classes of finite groups. We consider the nu...
Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view...
Abstract. By allowing values in non-Archimedean extensions of the unit interval, we consider finitel...
AbstractIn this paper, we apply the vector space cycle index derived by Kung (Linear Algebra Appl. 3...
In this paper , we consider the probability that two elements chosen at random from a finite group G...
Abstract. We prove that if a finitely presented group is one-ended then its asymptotic dimension is ...
By allowing values in non-Archimedean extensions of the unit interval, we consider finitely additive...
Abstract. We will deal with finitely additive measures on integers extending the asymptotic density....
AbstractLet Γ be a finitely generated group with a given word metric. The asymptotic density of elem...
Let Γ be a finitely generated group with a given word metric. The asymptotic density of elements in ...
Let B be a subset of the set of all isomorphism classes of finite groups. We consider the number Fg(...
AbstractLet T be a subset of the set of all isomorphism classes of finite groups. We consider the nu...
AbstractLet N denote the set of positive integers. The asymptotic density of the set A⊆N is d(A)=lim...
AbstractIn this paper we study satisfiability of random equations in an infinite finitely generated ...
For a group G and a positive real number x, define dG(x) to be the number of integers less than x wh...
AbstractLet T be a subset of the set of all isomorphism classes of finite groups. We consider the nu...
Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view...
Abstract. By allowing values in non-Archimedean extensions of the unit interval, we consider finitel...
AbstractIn this paper, we apply the vector space cycle index derived by Kung (Linear Algebra Appl. 3...
In this paper , we consider the probability that two elements chosen at random from a finite group G...
Abstract. We prove that if a finitely presented group is one-ended then its asymptotic dimension is ...
By allowing values in non-Archimedean extensions of the unit interval, we consider finitely additive...
Abstract. We will deal with finitely additive measures on integers extending the asymptotic density....