Efficient simple groups

Colin Matthew Campbell; G Havas; A Hulpke; Edmund Frederick Robertson

doi:10.1081/AGB-120023154

Efficient simple groups

Colin Matthew Campbell, G Havas, A Hulpke, Edmund Frederick Robertson

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

Abstract

We prove that the simple group L-3(5) which has order 372000 is efficient by providing an efficient presentation for it. This leaves one simple group with order less than one million, S-4(4) which has order 979200, whose efficiency or otherwise remains to be determined.

Original language	English
Pages (from-to)	5191-5197
Number of pages	7
Journal	Communications in Algebra
Volume	31
Issue number	10
DOIs	https://doi.org/10.1081/AGB-120023154
Publication status	Published - Jan 2003

Keywords

efficient presentations
simple groups
PRESENTATIONS

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10.1081/AGB-120023154

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title = "Efficient simple groups",

abstract = "We prove that the simple group L-3(5) which has order 372000 is efficient by providing an efficient presentation for it. This leaves one simple group with order less than one million, S-4(4) which has order 979200, whose efficiency or otherwise remains to be determined.",

keywords = "efficient presentations, simple groups, PRESENTATIONS",

author = "Campbell, \{Colin Matthew\} and G Havas and A Hulpke and Robertson, \{Edmund Frederick\}",

note = "A version of this paper with a large number of editorial errors was mistakenly printed in volume 30(9), 4613–4619 (2002). This is the correct version.",

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AU - Havas, G

AU - Hulpke, A

AU - Robertson, Edmund Frederick

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AB - We prove that the simple group L-3(5) which has order 372000 is efficient by providing an efficient presentation for it. This leaves one simple group with order less than one million, S-4(4) which has order 979200, whose efficiency or otherwise remains to be determined.

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KW - simple groups

KW - PRESENTATIONS

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U2 - 10.1081/AGB-120023154

DO - 10.1081/AGB-120023154

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SN - 0092-7872

VL - 31

SP - 5191

EP - 5197

JO - Communications in Algebra

JF - Communications in Algebra

IS - 10

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Efficient simple groups

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Keywords

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