AbstractIt is shown that if Q is a quasi-group of order n and k is moderately large, there exists a subset A of Q of size k such that if t is the least number of left translates of A needed to cover Q, then t >c(nlogn)k
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering...
AbstractIn an earlier paper we introduced a covering group theory for a category of “coverable” topo...
We study the coset covering function $C(r)$ of an infinite, finitely generated group: the number of ...
AbstractIt is shown that if Q is a quasi-group of order n and k is moderately large, there exists a ...
In this paper we study the minimal number of translates of an arbitrary subset $S$ of a group $G$ ne...
AbstractFor a Polish group G let covG be the minimal number of translates of a fixed closed nowhere ...
AbstractWe show that, for every nonlocally compact Polish group G with a left-invariant complete met...
Abstract. For a Polish group G let covG be the minimal number of translates of a fixed closed nowher...
A set of proper subgroups is a covering for a group if their union is the whole group. Determining t...
AbstractA set of proper subgroups is a covering for a group if their union is the whole group. Deter...
AbstractA theorem in convex bodies (in fact, measure theory) and a theorem about translates of sets ...
A cover of a group is a finite collection of proper subgroups whose union is the whole group. A cove...
AbstractLet G be a group covered by its left cosets a1G1,⋯ , akGkexactly m times. It is known that [...
We discuss a statistical variant of Ruzsa's covering lemma and use it to show that if G is an Abelia...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering...
AbstractIn an earlier paper we introduced a covering group theory for a category of “coverable” topo...
We study the coset covering function $C(r)$ of an infinite, finitely generated group: the number of ...
AbstractIt is shown that if Q is a quasi-group of order n and k is moderately large, there exists a ...
In this paper we study the minimal number of translates of an arbitrary subset $S$ of a group $G$ ne...
AbstractFor a Polish group G let covG be the minimal number of translates of a fixed closed nowhere ...
AbstractWe show that, for every nonlocally compact Polish group G with a left-invariant complete met...
Abstract. For a Polish group G let covG be the minimal number of translates of a fixed closed nowher...
A set of proper subgroups is a covering for a group if their union is the whole group. Determining t...
AbstractA set of proper subgroups is a covering for a group if their union is the whole group. Deter...
AbstractA theorem in convex bodies (in fact, measure theory) and a theorem about translates of sets ...
A cover of a group is a finite collection of proper subgroups whose union is the whole group. A cove...
AbstractLet G be a group covered by its left cosets a1G1,⋯ , akGkexactly m times. It is known that [...
We discuss a statistical variant of Ruzsa's covering lemma and use it to show that if G is an Abelia...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering...
AbstractIn an earlier paper we introduced a covering group theory for a category of “coverable” topo...
We study the coset covering function $C(r)$ of an infinite, finitely generated group: the number of ...