Add to ORKGWe study the coset covering function $C(r)$ of an infinite, finitely generated group: the number of cosets of infinite index subgroups needed to cover the ball of radius r. We show that $C(r)$ is of order at least $\sqrt{r}$ for all groups. Moreover, we show that $C(r)$ is linear for a class of amenable groups including virtually nilpotent and polycyclic groups, and that it is exponential for property (T) groups
AbstractWe construct and study the one-parameter semigroup of σ-finite measures Lθ, θ>0, on the spac...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
AbstractLet f:A→B be a covering map. We say that A has e filtered ends with respect to f (or B) if, ...
We study the coset covering function $C(r)$ of an infinite, finitely generated group: the number of ...
We study the coset covering function $\mathfrak{C}(r)$ of a finitely generated group: the number of ...
We discuss a statistical variant of Ruzsa's covering lemma and use it to show that if G is an Abelia...
A subset {g1, ..., gd} of a finite group G is said to invariably generate G if the set {g1x1,...,gdx...
AbstractWe study the question how many subgroups, cosets or subspaces are needed to cover a finite A...
Coset enumeration, based on the methods described by Todd and Coxeter, is one of the basic tools for...
Abstract. We first show that co-amenability does not pass to subgroups, answering a question asked b...
Given a group G, we write x^G for the conjugacy class of G containing the element x. A famous theore...
Bux K-U, Welsch C. Coset posets of infinite groups. JOURNAL OF GROUP THEORY. 2020;23(4):593-605.We c...
Abstract. A “cogrowth set ” of a graph G is the set of vertices in the universal cover of G which ar...
We show that for some absolute (explicit) constant C, the following holds for every finitely generat...
Der Coset Poset ist die Menge aller Rechtsnebenklassen aller echten Untergruppen zusammen mit der Te...
AbstractWe construct and study the one-parameter semigroup of σ-finite measures Lθ, θ>0, on the spac...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
AbstractLet f:A→B be a covering map. We say that A has e filtered ends with respect to f (or B) if, ...
We study the coset covering function $C(r)$ of an infinite, finitely generated group: the number of ...
We study the coset covering function $\mathfrak{C}(r)$ of a finitely generated group: the number of ...
We discuss a statistical variant of Ruzsa's covering lemma and use it to show that if G is an Abelia...
A subset {g1, ..., gd} of a finite group G is said to invariably generate G if the set {g1x1,...,gdx...
AbstractWe study the question how many subgroups, cosets or subspaces are needed to cover a finite A...
Coset enumeration, based on the methods described by Todd and Coxeter, is one of the basic tools for...
Abstract. We first show that co-amenability does not pass to subgroups, answering a question asked b...
Given a group G, we write x^G for the conjugacy class of G containing the element x. A famous theore...
Bux K-U, Welsch C. Coset posets of infinite groups. JOURNAL OF GROUP THEORY. 2020;23(4):593-605.We c...
Abstract. A “cogrowth set ” of a graph G is the set of vertices in the universal cover of G which ar...
We show that for some absolute (explicit) constant C, the following holds for every finitely generat...
Der Coset Poset ist die Menge aller Rechtsnebenklassen aller echten Untergruppen zusammen mit der Te...
AbstractWe construct and study the one-parameter semigroup of σ-finite measures Lθ, θ>0, on the spac...
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index ...
AbstractLet f:A→B be a covering map. We say that A has e filtered ends with respect to f (or B) if, ...