On the Schur indices of GL(n, q) and SL(2n+1, q)

Zyozyu OHMORI

doi:10.2969/jmsj/02940693

On the Schur indices of GL(n, q) and SL(2n+1, q)

Zyozyu OHMORI

Author information

JOURNAL FREE ACCESS

1977 Volume 29 Issue 4 Pages 693-707

DOI https://doi.org/10.2969/jmsj/02940693

Details

Published: 1977 Received: April 16, 1976 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C.W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, John Wiley and Sons (Interscience), New York, 1962.
2) R. Gow, Schur indices of some groups of Lie type. J. Alg., 42 (1976), 102-120.
3) J.A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80. (1955), 402-447.
4) G.J. Janusz, Simple components of Q[SL(2, q)), Communications in Algebra, 1 (1974), 1-22.
5) D.E. Littlewood, The theory of group characters and matrix representations of groups, 2nd edition, Oxford, 1950.
6) D.E. Littlewood, On certain symmetric functions, Proc London Math. Soc., 11 (1961), 485-498.
7) A.O. Morris, The characters of the group GL(n, q), Math. Z., 81 (1963), 112-123.
8) Z. Ohmori and T. Yamada, On the Schur indices of characters of GL(2, q) and GL(3, q), Math. Z., 146 (1976), 93-100.

Right : [1] C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, John Wiley and Sons (Interscience), New York, 1962.
[2] R. Gow, Schur indices of some groups of Lie type. J. Alg., 42 (1976), 102-120.
[3] J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80. (1955), 402-447.
[4] G. J. Janusz, Simple components of Q[SL(2, q)), Communications in Algebra, 1 (1974), 1-22.
[5] D. E. Littlewood, The theory of group characters and matrix representations of groups, 2nd edition, Oxford, 1950.
[6] D. E. Littlewood, On certain symmetric functions, Proc London Math. Soc., 11 (1961), 485-498.
[7] A. O. Morris, The characters of the group GL(n, q), Math. Z., 81 (1963), 112-123.
[8] Z. Ohmori and T. Yamada, On the Schur indices of characters of GL(2, q) and GL(3, q), Math. Z., 146 (1976), 93-100.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!