106
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Uno's Invariant Conjecture for the Finite Symplectic Group Sp4(q) in the Defining Characteristic

, &
Pages 3868-3888 | Received 16 Mar 2009, Published online: 24 Nov 2010

REFERENCES

  • Alperin , J. L. ( 1975 ). The main problem of block theory. In: Proceedings of the Conference on Finite Groups, Univ. Utah, Park City, UT . New York : Academic Press , pp. 341 – 356 .
  • An , J. , Himstedt , F. , Huang , S. ( 2007 ). Uno's invariant conjecture for Steinberg's triality groups in defining characteristic . J. Algebra 316 : 79 – 108 .
  • An , J. , Himstedt , F. , Huang , S. ( 2010 ). Dade's invariant conjecture for the symplectic group Sp 4(2 n ) and the special unitary group SU(4, 22n ) in defining characteristic . Comm. Algebra 38 : 2364 – 2403 .
  • et al. ( 1970 ). Properties and linear representations of Chevalley groups. Seminar on Algebraic Groups and Related Finite Groups. (The Institute for Advanced Study, Princeton, NJ 1968/1969) Lecture Notes in Math., vol. 131 , Heidelberg : Springer .
  • Burgoyne , N. , Williamson , C. ( 1976 ). On a theorem of Borel and Tits for finite Chevalley groups . Arch. Math. (Basel) 27 : 489 – 491 .
  • Carter , R. W. ( 1985 ). Finite Groups of Lie Type – Conjugacy Classes and Complex Characters . Chichester : A Wiley-Interscience Publication .
  • Dade , E. C. ( 1992 ). Counting characters in blocks I . Invent. Math. 109 : 187 – 210 .
  • Dade , E. C. ( 1994 ). Counting characters in blocks II . J. Reine Angew. Math. 448 : 97 – 190 .
  • Dade , E. C. ( 1997 ). Counting characters in blocks II.9. Representation Theory of Finite Groups (Columbus, OH, 1995). Ohio State Univ. Math. Res. Inst. Publ. 6, de Gruyter, Berlin , pp. 45 – 59 .
  • Geck , M. , Hiss , G. , Lübeck , F. , Malle , G. , Pfeiffer , G. ( 1996 ). CHEVIE – A system for computing and processing generic character tables for finite groups of Lie type, Weyl groups and Hecke algebras . Appl. Algebra Engrg. Comm. Comput. 7 : 175 – 210 .
  • Humphreys , J. ( 1971 ). Defect groups for finite groups of Lie type . Math. Z. 119 : 149 – 152 .
  • Isaacs , I. M. , Navarro , G. ( 2002 ). New refinements of the McKay conjecture for arbitrary finite groups . Ann. Math. 156 : 333 – 344 .
  • Kleidman , P. , Liebeck , M. ( 1990 ). The Subgroup Structure of the Finite Classical Groups . London Mathematical Society Lecture Note Series, 129 . Cambridge : Cambridge University Press .
  • McKay , J. ( 1971 ). A new invariant for simple groups . Notices Amer. Math. Soc. 18 : 397 .
  • Nagao , H. , Tsushima , Y. ( 1989 ). Representations of Finite Groups . Boston , MA : Academic Press, Inc .
  • Shinoda , K. ( 1982 ). The characters of the finite conformal symplectic group, CSp(4, q) . Comm. Algebra 10 : 1369 – 1419 .
  • Srinivasan , B. ( 1968 ). The characters of the finite symplectic group Sp(4, q) . Trans. Amer. Math. Soc. 131 : 488 – 525 .
  • Uno , K. ( 2004 ). Conjectures on character degrees for the simple Thompson group . Osaka J. Math. 41 : 11 – 36 .
  • Yamada , H. The characters of Sp4(q), q odd. Preprint .
  • Communicated by D. Nakano.

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.