The spread of a group G is the greatest number r such that, for every set of non-trivial elements {x1,…,xr}, there exists an element y with the property that xs3008xi, yxs3009 = G for 1 ≤ i ≤ r. In this paper we obtain good upper bounds for the spread of fourteen sporadic simple groups computationally, and we determine the value of the spread of M11 by hand
AbstractLet G be a non-cyclic finite group that can be generated by two elements. A subset S of G is...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabi...
The spread of a group G is the greatest number r such that, for every set of non-trivial elements {x...
We give improved upper bounds on the exact spreads of many of the larger sporadic simple groups, in ...
Let G be a finite group. We say that G has spread r if for any set of distinct non-trivial elements ...
Let G be a finite group. We say that G has spread r if for any set of distinct non-trivial elements ...
Let $G$ be a finite group. We say that $G$ has emph{spread} r if for any set of distinct non-trivial...
A finite group $G$ has uniform spread $k$ if there exists a fixed conjugacy class $C$ of elements ...
A group G is said to be 3/2-generated if every nontrivial element belongs to a generating pair. It i...
A group G is said to be 3/2-generated if every nontrivial element belongs to a generating pair. It i...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
Abstract. Let G be a non-cyclic finite group that can be generated by two elements. A subset S of G ...
A group G is said to be 3/2-generated if every nontrivial element belongs to a generating pair. It i...
AbstractLet G be a non-cyclic finite group that can be generated by two elements. A subset S of G is...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabi...
The spread of a group G is the greatest number r such that, for every set of non-trivial elements {x...
We give improved upper bounds on the exact spreads of many of the larger sporadic simple groups, in ...
Let G be a finite group. We say that G has spread r if for any set of distinct non-trivial elements ...
Let G be a finite group. We say that G has spread r if for any set of distinct non-trivial elements ...
Let $G$ be a finite group. We say that $G$ has emph{spread} r if for any set of distinct non-trivial...
A finite group $G$ has uniform spread $k$ if there exists a fixed conjugacy class $C$ of elements ...
A group G is said to be 3/2-generated if every nontrivial element belongs to a generating pair. It i...
A group G is said to be 3/2-generated if every nontrivial element belongs to a generating pair. It i...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
Abstract. Let G be a non-cyclic finite group that can be generated by two elements. A subset S of G ...
A group G is said to be 3/2-generated if every nontrivial element belongs to a generating pair. It i...
AbstractLet G be a non-cyclic finite group that can be generated by two elements. A subset S of G is...
The spread of a group G, written s(G), is the largest k such that for any nontrivial elements x1,…,x...
Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabi...
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