Skip to content

Research at St Andrews

University > Research portal > Research publications > Efficient simple groups

Efficient simple groups

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

DOI

Standard

Efficient simple groups. / Campbell, Colin Matthew; Havas, G; Hulpke, JA; Robertson, Edmund Frederick.

In: Communications in Algebra, Vol. 30, No. 9, 01.2002, p. 4613-4619.

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

Harvard

Campbell, CM, Havas, G, Hulpke, JA & Robertson, EF 2002, 'Efficient simple groups', Communications in Algebra, vol. 30, no. 9, pp. 4613-4619. https://doi.org/10.1081/AGB-120013342

APA

Campbell, C. M., Havas, G., Hulpke, JA., & Robertson, E. F. (2002). Efficient simple groups. Communications in Algebra, 30(9), 4613-4619. https://doi.org/10.1081/AGB-120013342

Vancouver

Campbell CM, Havas G, Hulpke JA, Robertson EF. Efficient simple groups. Communications in Algebra. 2002 Jan;30(9):4613-4619. https://doi.org/10.1081/AGB-120013342

Author

Campbell, Colin Matthew ; Havas, G ; Hulpke, JA ; Robertson, Edmund Frederick. / Efficient simple groups. In: Communications in Algebra. 2002 ; Vol. 30, No. 9. pp. 4613-4619.

Bibtex - Download

@article{a6752bc9de4740738ea3633c7078f2a5,
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 = "PRESENTATIONS",
author = "Campbell, {Colin Matthew} and G Havas and JA Hulpke and Robertson, {Edmund Frederick}",
year = "2002",
month = jan,
doi = "10.1081/AGB-120013342",
language = "English",
volume = "30",
pages = "4613--4619",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor & Francis",
number = "9",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Efficient simple groups

AU - Campbell, Colin Matthew

AU - Havas, G

AU - Hulpke, JA

AU - Robertson, Edmund Frederick

PY - 2002/1

Y1 - 2002/1

N2 - 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.

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

U2 - 10.1081/AGB-120013342

DO - 10.1081/AGB-120013342

M3 - Article

VL - 30

SP - 4613

EP - 4619

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 9

ER -

Related by author

  1. The Copson and Curle lectures

    Campbell, C. M. & Robertson, E. F., 2020, Proceedings of the Conference on the History of Mathematics and Teaching of Mathematics, Miskolc, 2020. Kortesi, P. (ed.). Miskolc: University of Miskolc, 11 p.

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  2. Groups St Andrews 2017 in Birmingham

    Campbell, C. M., Parker, C. W., Quick, M., Robertson, E. F. & Roney-Dougal, C. M., Apr 2019, Cambridge University Press. 508 p. (London Mathematical Lecture Note Series 455)

    Research output: Book/Report › Book

  3. Groups St Andrews 2013

    Campbell, C. M. (ed.), Quick, M. (ed.), Robertson, E. F. (ed.) & Roney-Dougal, C. M. (ed.), 2015, Cambridge: Cambridge University Press. 500 p. (London Mathematical Society lecture note series ; vol. 422)

    Research output: Book/Report › Book

  4. All simple groups with order from 1 million to 5 million are efficient

    Robertson, E. F., Campbell, C. M., Havas, G. & Ramsay, C., Mar 2014, In: International Journal of Group Theory. 3, 1, p. 17–30 14 p.

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

  5. Groups St Andrews 2009 in Bath, Volume 1

    Campbell, C. M., Quick, M., Robertson, E. F., Roney-Dougal, C. M., Smith, G. & Traustason, G., 2011, Cambridge University Press. 307 p. (London Mathematical Society Lecture Note Series 387)

    Research output: Book/Report › Book

Related by journal

  1. On random presentations with fixed relator length

    Ashcroft, C. & Roney-Dougal, C. M., 19 Jan 2020, In: Communications in Algebra. Latest Articles, 15 p.

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

  2. An introduction to presentations of monoid acts: quotients and subacts

    Miller, C. & Ruskuc, N., 27 Jan 2019, In: Communications in Algebra. Latest Articles

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

  3. Special subgroups of regular semigroups

    Blyth, T. S. & Almeida Santos, M. H., 3 Oct 2017, In: Communications in Algebra. 45, 10, p. 4246-4256 11 p.

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

  4. Finitely generated soluble groups and their subgroups

    Brough, T. & Holt, D., 2013, In: Communications in Algebra. 41, 5, p. 1790-1799 10 p.

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

  5. The primitive permutation groups of degree less than 4096

    Coutts, H. J., Quick, M. & Roney-Dougal, C. M., 14 Oct 2011, In: Communications in Algebra. 39, 10, p. 3526-3546 21 p.

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

ID: 2977911

Top