The exact spread of the Mathieu group M11

Andrew Woldar

doi:10.1515/JGT.2007.012

Article

The exact spread of the Mathieu group M₁₁

Published/Copyright: April 22, 2007

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From the journal Volume 10 Issue 2

Abstract

Following [J. I. Brenner and J. Wiegold. Two-generator groups, I. Michigan Math. J. 22 (1975), 53–64.], we define the exact spread of a group G to be the greatest integer r for which, given any r non-identity elements of G, one can find y ∈ G such that 〈x_i = y〉 = G for i = 1, 2, …, r. In this paper, we determine the exact spread of M₁₁, the smallest sporadic simple group of Mathieu.

(Communicated J. S. Wilson)

Received: 2006-04-27

Revised: 2006-05-17

Published Online: 2007-04-22

Published in Print: 2007-03-20

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Almost central involutions in split extensions of Coxeter groups by graph automorphisms
The exact spread of the Mathieu group M₁₁
On p-monomial modules over local domains
Actions of abelian groups on groups
Connected transversals to nilpotent groups
A note on finite 𝒫𝒮𝒯-groups
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https://doi.org/10.1515/JGT.2007.012

Articles in the same Issue

Almost central involutions in split extensions of Coxeter groups by graph automorphisms
The exact spread of the Mathieu group M₁₁
On p-monomial modules over local domains
Actions of abelian groups on groups
Connected transversals to nilpotent groups
A note on finite 𝒫𝒮𝒯-groups
On c*-normality and its properties
Finite groups with few non-cyclic subgroups
On topologizing groups
Examples of growth series of torus bundle groups