If G is a finite group and X a conjugacy class of G, then we define rank(G: X) to be the minimum number of elements of X generating G. In the present paper, we determine the ranks of the sporadic simple groups HS and McL. Most of the calculations were carried out using the computer algebra system GAP [13].
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
A group \(G\) is said to be an \(FC\)-\(group\) if each element of \(G\) has only finitely many conj...
Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number o...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number o...
Let G be a finite group and X a conjugacy class of G. We de-note rank(G: X) to be the minimum number...
If G is a finite group and X a conjugacy class of elements of G, then we define rank(G:X) to be the ...
Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number o...
If G is a finite group and X a conjugacy class of elements of G, then we define rank (G : X) to be t...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
If $G$ is a finite group and $X$ a conjugacy class of elements of $G$, then we define $rank(G{:}...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
$M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {cdot} 3^3 {cdo...
The main results of this paper provide a lower bound on the -rank of the finite -groups
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
A group \(G\) is said to be an \(FC\)-\(group\) if each element of \(G\) has only finitely many conj...
Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number o...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number o...
Let G be a finite group and X a conjugacy class of G. We de-note rank(G: X) to be the minimum number...
If G is a finite group and X a conjugacy class of elements of G, then we define rank(G:X) to be the ...
Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number o...
If G is a finite group and X a conjugacy class of elements of G, then we define rank (G : X) to be t...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
If $G$ is a finite group and $X$ a conjugacy class of elements of $G$, then we define $rank(G{:}...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
$M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {cdot} 3^3 {cdo...
The main results of this paper provide a lower bound on the -rank of the finite -groups
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
A group \(G\) is said to be an \(FC\)-\(group\) if each element of \(G\) has only finitely many conj...