Improved bounds for the spread of sporadic groups

Petra Elisabeth Holmes; J D Bradley

doi:10.1112/S1461157000001339

Improved bounds for the spread of sporadic groups

Petra Elisabeth Holmes, J D Bradley

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	132-140
Journal	LMS Journal of Computation and Mathematics
Volume	10
DOIs	https://doi.org/10.1112/S1461157000001339
Publication status	Published - 2007

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10.1112/S1461157000001339

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Ruskuc, N. (PI) & Quick, M. (CoI)
EPSRC
1/09/05 → 31/08/10
Project: Standard
EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Linton, S. A. (PI), Gent, I. P. (CoI), Leonhardt, U. (CoI), Mackenzie, A. (CoI), Miguel, I. J. (CoI), Quick, M. (CoI) & Ruskuc, N. (CoI)
EPSRC
1/09/05 → 31/08/10
Project: Standard

Cite this

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title = "Improved bounds for the spread of sporadic groups",

abstract = "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.",

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Improved bounds for the spread of sporadic groups

Abstract

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Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this