A set of proper subgroups is a covering for a group if their union is the whole group. Determining the size of a smallest covering is an open problem for many simple groups. For some of the sporadic groups, we find subgroup coverings of minimal cardinality. For others we specify the isomorphism types of subgroups in a smallest covering and use graphs to calculate bounds for its size. (c) 2005 Elsevier Inc. All rights reserved.</p
A group cover is a collection of subgroups whose union is the group. A group partition is a group co...
For a finite noncyclic group G, let \u3b3(G) be the smallest integer k such that G contains k proper...
AbstractLet G be a finite group. Denote by r(G) the least cardinality of a subset A of G, satisfying...
AbstractA set of proper subgroups is a covering for a group if their union is the whole group. Deter...
A cover of a group is a finite collection of proper subgroups whose union is the whole group. A cove...
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering...
A finite cover $\mathcal{C}$ of a group $G$ is a finite collection of proper subgroups of $G$ such ...
The minimum quantity σ (G) of proper subgroups of a finite, non-cyclic group G which covers G. Calcu...
A \emph{finite cover} of a group $G$ is a finite collection $\mathcal{C}$ of proper subgroups of $G$...
Given a finite non-cyclic group G, call G the least number of proper subgroups of G needed to cover ...
A cover of a finite noncyclic group G is a family \u210b of proper subgroups of G whose union equals...
Abstract. Let G be a non-cyclic finite group that can be generated by two elements. A subset S of G ...
AbstractLet G be a non-cyclic finite group that can be generated by two elements. A subset S of G is...
Given a finite non-cyclic group $G$, a "cover" of $G$ is a family $\mathcal{H}$ of proper subgroups ...
In this paper we study the minimal number of translates of an arbitrary subset $S$ of a group $G$ ne...
A group cover is a collection of subgroups whose union is the group. A group partition is a group co...
For a finite noncyclic group G, let \u3b3(G) be the smallest integer k such that G contains k proper...
AbstractLet G be a finite group. Denote by r(G) the least cardinality of a subset A of G, satisfying...
AbstractA set of proper subgroups is a covering for a group if their union is the whole group. Deter...
A cover of a group is a finite collection of proper subgroups whose union is the whole group. A cove...
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering...
A finite cover $\mathcal{C}$ of a group $G$ is a finite collection of proper subgroups of $G$ such ...
The minimum quantity σ (G) of proper subgroups of a finite, non-cyclic group G which covers G. Calcu...
A \emph{finite cover} of a group $G$ is a finite collection $\mathcal{C}$ of proper subgroups of $G$...
Given a finite non-cyclic group G, call G the least number of proper subgroups of G needed to cover ...
A cover of a finite noncyclic group G is a family \u210b of proper subgroups of G whose union equals...
Abstract. Let G be a non-cyclic finite group that can be generated by two elements. A subset S of G ...
AbstractLet G be a non-cyclic finite group that can be generated by two elements. A subset S of G is...
Given a finite non-cyclic group $G$, a "cover" of $G$ is a family $\mathcal{H}$ of proper subgroups ...
In this paper we study the minimal number of translates of an arbitrary subset $S$ of a group $G$ ne...
A group cover is a collection of subgroups whose union is the group. A group partition is a group co...
For a finite noncyclic group G, let \u3b3(G) be the smallest integer k such that G contains k proper...
AbstractLet G be a finite group. Denote by r(G) the least cardinality of a subset A of G, satisfying...
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