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Original Articles

EFFICIENT SIMPLE GROUPS

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Pages 4613-4619 | Received 01 Apr 2002, Published online: 03 Sep 2006

REFERENCES

  • Conder , M. 1987 . Three-Relator Quotients of the Modular Group . Quart. J. Math. Oxford Ser. (2) , 38 ( 152 ) : 427 – 447 .
  • Campbell , C.M. and Robertson , E.F. 1982 . The Efficiency of Simple Groups of Order . Comm. Algebra , 10 ( 2 ) : 217 – 225 .
  • Campbell , C.M. and Robertson , E.F. 1984 . Presentations for the Simple Groups G, . Comm. Algebra , 12 ( 21–22 ) : 2643 – 2663 .
  • Campbell , C.M. , Robertson , E.F. and Williams , P.D. Efficient Presentations for Finite Simple Groups and Related Groups . Proceedings of the Second International Conference on Group Theory held in Pusan . August 15–21 1988 , (Berlin) . Edited by: Kim , A.C. and Neumann , B.H. pp. 65 – 72 . Springer .
  • Cannon , J.J. , McKay , J. and Young , K. 1979 . The Non-Abelian Simple Groups G, —presentations . Comm. Algebra , 7 ( 13 ) : 1397 – 1406 .
  • The GAP Group, Aachen, St Andrews, GAP–Groups, Algorithms, and Programming, Version 4.2, 2000. http://www-gap.dcs.st-and.ac.uk/˜gap/
  • Gamble, G.; Havas, G.; Hulpke, A. PGRelFind: a GAP Example Using the ACE Share Package, 2000 http://www-gap.dcs.st-and.ac.uk/˜gap/Intro/pgrelfind.html
  • Gamble, G.; Havas, G.; Hulpke, A.; Ramsay, C. ACE: a GAP 4 Interface to the Advanced Coset Enumerator of G Havas and C. Ramsay, 2000. http://www-gap.dcs.st-and.ac.uk/˜gap/Share/ace.html
  • Howie, J.; Metaftsis, V.; Thomas, R.M. Triangle Groups and their Generalisations, In [12], 135–147
  • Jamali , A. and Robertson , E.F. 1989 . Efficient Presentations for Certain Simple Groups . Comm. Algebra , 17 ( 10 ) : 2521 – 2528 .
  • Kenne , P.E. 1986 . Efficient Presentations for Three Simple Groups . Comm. Algebra , 14 ( 5 ) : 797 – 800 .
  • Kim , A.C. and Johnson , D.L. , eds. 1995 . “ Groups---Korea '94 ” . Berlin : Walter de Gruyter Co. .
  • Kovács, L.G. Finite Groups with Trivial Multiplicator and Large Deficiency, In [12], pp. 211–225
  • Malle , G. , Saxl , J. and Weigel , T. 1994 . Generation of Classical Groups . Geom. Dedicata , 49 ( 1 ) : 85 – 116 .
  • Robertson, E.F; Thomas, R.M.; Wotherspoon, C.I. A Class of Inefficient Groups with Symmetric Presentation, In [12], pp. 277–284
  • Wiegold , J. 1982 . “ The Schur Multiplier: An Elementary Approach, Groups–St Andrews 1981 ” . In LMS Lecture Notes Series Edited by: Campbell , C.M. and Robertson , E.F. Vol. 71 , 137 – 154 . Cambridge University Press .
  • An early draft of this paper was mistakenly printed in Communications in Algebra, Volume 30(2), 971–975 (2002). This is the correct version.

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