Efficient simple groups

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

doi:10.1081/AGB-120013342

Efficient simple groups

Colin Matthew Campbell, G Havas, JA 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)	4613-4619
Number of pages	7
Journal	Communications in Algebra
Volume	30
Issue number	9
DOIs	https://doi.org/10.1081/AGB-120013342
Publication status	Published - Jan 2002

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PRESENTATIONS

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10.1081/AGB-120013342

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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.",

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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.

KW - PRESENTATIONS

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DO - 10.1081/AGB-120013342

M3 - Article

SN - 0092-7872

VL - 30

SP - 4613

EP - 4619

JO - Communications in Algebra

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ER -

Efficient simple groups

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