97
Views
0
CrossRef citations to date
0
Altmetric
Miscellany

Generating Permutation Groups

, &
Pages 1729-1746 | Received 01 Feb 2002, Published online: 21 Oct 2011

References

  • Cameron , P. J. 1998 . Permutation Groups 20 Cambridge University Press .
  • Cameron , P. J. , Solomon , R. and Turull , A. 1989 . Chains of subgroups in symmetric groups . J. Algebra , 127 ( 2 ) : 340 – 352 .
  • Conway , J. H. , Curtis , R. T. , Norton , S. P. , Parker , R. A. and Wilson , R. A. 1985 . Atlas of Finite Groups. Maximal Subgroups and Ordinary Characters for Simple Groups Oxford : Oxford University Press . With computational assistance from J. G. Thackray
  • Cooperstein , B. N. 1978 . Minimal degree for a permutation representation of a classical group . Israel J. Math. , 30 ( 3 ) : 213 – 235 .
  • Dixon , J. D. and Mortimer , B. Permutation Groups , Graduate Texts in Mathematics, 163 147 – 151 . New York : Springer-Verlag .
  • The GAP Group, ‘GAP–Groups, Algorithms, and Programming, Version 4', Aachen, St Andrews, 1998, (http://www-gap.dcs.st-and.ac.uk/gap)
  • Gaschütz , W. , Zu einem von , B. H. and Neumanm , H. 1955 . Gestellten problem . Math. Nachr. , 14 : 249 – 252 .
  • Jerrum , M. 1986 . A compact representation for permutation groups . J. Algorithms , 7 : 60 – 78 .
  • Lucchini , A. and Menegazzo , F. 1994 . Computing a set of generators of minimal cardinality in a solvable group . J. Symbolic Comput. , 17 ( 5 ) : 409 – 420 . [CROSSREF]
  • McIver , A. and Neumann , P. M. 1987 . Enumerating finite groups . Quart. J. Math. Oxford Ser. , 38 ( 2 ) : 473 – 488 .
  • #Communicated by M. Dixon.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.