34
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

The 5-modular characters of the sporadic simple rudvalis group and its covering groupFootnote*

&
Pages 4633-4667 | Received 01 Dec 1994, Published online: 27 Jun 2007

References

  • Conway , J. H. , Curtis , R. T. , Norton , S. P. , Parker , R. A. and Wilson , R. A. 1985 . “ Atlas of Finite Groups ” . Oxford University Press .
  • Curtis , C. W. and Reiner , I. 1981 . “ Methods of Representation Theory I ” . Wiley .
  • Green , J. A. 1980 . “ Polynomial Representations of GLn, Lecture Notes in Mathematics ” . Vol. 830 , Springer .
  • Griess , R. L. JR and Ryba , A. J. E. 1994 . Embeddings of U3(8), Sz(8)and the Rudvalis group in algebraic groups of type . E7Invent Math , 116 : 215 – 241 .
  • Hiss , G. 1986 . The modular characters of the Tits simple group and its automorphism group . Comm. Algebra , 14 : 125 – 154 .
  • Hiss , G. 1994 . The 3‐modular characters of the Rudvalis group and its covering group . Math. Comput , 62 : 851 – 863 .
  • Hiss , G. , Jansen , C. , Lux , K. and Parker , R. 1992 . Computational Modular Character Theory , Preprint .
  • Hiss , G. and Lux , K. 1989 . “ Brauer Trees of Sporadic Groups ” . Oxford University Press .
  • James , G. D. and Kerber , A. 1981 . The Representation Theory of the Symmetric Group . Encyclopedia Math , 16
  • Jansen , C. , Lux , K. , Parker , R. A. and Wilson , R. A. 1995 . “ An Atlas of Modular Characters ” . Oxford University Press .
  • Landrock , P. 1983 . “ Finite Group Algebras and their Modules ” . Cambridge University Press .
  • Lux , K. , Muller , J. and Ringe , M. 1994 . Peakword condensation and sub‐module lattices:an application of the Meat‐Axe . J. Symb. Comp , 17 : 529 – 544 .
  • Muller , J. 1991 . 5-modulare Zerlegungszahlen fur die einfache Gruppe C03 , Germany : Diplomarbeit, Lehrstuhl D fur Mathematik, RWTH Aachen .
  • Parker , R. A. 1984 . “ The computer calculation of modular characters (the Meat-Axe ” . In Computational Group Theory , 267 – 274 . Academic Press .
  • Parker , R. A. and Wilson , R. A. The 2-modular characters of the Rudvalis group , unpublished .
  • Ringe , M. 1993 . The C Meat-Axe, Manual , Germany : Lehrstuhl D fur Mathematik, RWTH Aachen .
  • Rudvalis , A. 1984 . A rank 3 simple group G of order 21433537 . 13 . 29, II:Characters of G and Ĝ . J. Algebra , 86 : 219 – 258 .
  • Schneider , G. J. A. 1990 . Dixon’s character table algorithm revisited . J. Symb. Comp , 9 : 601 – 606 .
  • SchÖnertet , M. 1994 . “ GAP‐Groups, Algorithms, and Programming, Lehrstuhl D fur Mathematik ” . Germany : RWTH Aachen .
  • Wiegelmann , M. 1994 . “ Fixpunktkondensation von Tensorproduktmoduln, Diplomarbeit, Lehrstuhl D fur Mathematik ” . Germany : RWTH Aachen .
  • Wilson , R. A. 1984 . The geometry and maximal subgroups of the simple groups of A. Rudvalis and J. Tits . Proc. London Math. Soc , 48 : 533 – 563 .

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.