On the projective characters in characteristic 2 of the groups S u z ( 2 m ) and S p 4 ( 2 n )

Leonard Chastkofsky; Walter Feit

Publications Mathématiques de l'IHÉS (1980)

  • Volume: 51, page 9-35
  • ISSN: 0073-8301

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Chastkofsky, Leonard, and Feit, Walter. "On the projective characters in characteristic 2 of the groups $Suz (2^m)$ and $Sp_4(2^n)$." Publications Mathématiques de l'IHÉS 51 (1980): 9-35. <http://eudml.org/doc/103969>.

@article{Chastkofsky1980,
author = {Chastkofsky, Leonard, Feit, Walter},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {first Cartan invariant in characteristic 2; projective indecomposable characters; irreducible Brauer character; Steinberg character},
language = {eng},
pages = {9-35},
publisher = {Institut des Hautes Études Scientifiques},
title = {On the projective characters in characteristic 2 of the groups $Suz (2^m)$ and $Sp_4(2^n)$},
url = {http://eudml.org/doc/103969},
volume = {51},
year = {1980},
}

TY - JOUR
AU - Chastkofsky, Leonard
AU - Feit, Walter
TI - On the projective characters in characteristic 2 of the groups $Suz (2^m)$ and $Sp_4(2^n)$
JO - Publications Mathématiques de l'IHÉS
PY - 1980
PB - Institut des Hautes Études Scientifiques
VL - 51
SP - 9
EP - 35
LA - eng
KW - first Cartan invariant in characteristic 2; projective indecomposable characters; irreducible Brauer character; Steinberg character
UR - http://eudml.org/doc/103969
ER -

References

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  1. [1] J. L. ALPERIN, Projective modules for SL(2, 2n) (to appear). Zbl0405.20012
  2. [2] R. W. CARTER, Simple groups of Lie type, London, John Wiley & Sons, 1972. Zbl0248.20015MR53 #10946
  3. [3] H. ENOMOTO, The characters of the finite symplectic groups Sp(4, q), q = 2f, Osaka J. Math., 9 (1972), 75-94. Zbl0254.20005MR46 #1893
  4. [4] J. E. HUMPHREYS, Projective modules for SL2(q), J. of Algebra, 25 (1973), 513-518. Zbl0258.20010MR53 #3092
  5. [5] A. V. JEYAKUMAR, Principal indecomposable representations for the group SL(2, q), J. of Algebra, 30 (1974), 444-458. Zbl0286.20010MR49 #7347
  6. [6] P. LANDROCK, A counterexample to a conjecture on the Cartan invariants of a group algebra, Bull. London Math. Soc., 5 (1973), 223-224. Zbl0272.20004MR48 #2240
  7. [7] B. SRINIVASAN, On the modular characters of the special linear group SL(2, pn), Proc. London Math. Soc., 14 (1964), 101-114. Zbl0118.03803MR27 #5832
  8. [8] R. STEINBERG, Representations of algebraic groups, Nagoya Math. J., 22 (1963), 33-56. Zbl0271.20019MR27 #5870
  9. [9] R. STEINBERG, Endomorphisms of linear algebraic groups, Memoirs A.M.S., 80 (1968). Zbl0164.02902MR37 #6288
  10. [10] M. SUZUKI, On a class of doubly transitive groups, Ann. of Math. (2), 75 (1962), 105-145. Zbl0106.24702MR25 #112

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