Computing the irreducible characters of the group

Author:
M. R. Darafsheh

Journal:
Math. Comp. **46** (1986), 301-319

MSC:
Primary 20C15; Secondary 20C30

DOI:
https://doi.org/10.1090/S0025-5718-1986-0815851-X

MathSciNet review:
815851

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Abstract: All the sixty ordinary irreducible characters of the group of six by six nonsingular matrices over a field with two elements are found. To do this we use methods of Steinberg and also characters induced from certain subgroups which makes it possible to calculate the whole character table by hand.

**[1]**R. Brauer, "On groups whose order contains a prime number to the first power. I,"*Amer. J. Math.*, v. 64, 1942, pp. 401-420. MR**0006537 (4:1e)****[2]**L. E. Dickson,*Linear Groups With an Exposition of the Galois Field Theory*, Dover, New York, 1958. MR**0104735 (21:3488)****[3]**I. Martin Isaacs,*Character Theory of Finite Groups*, Academic Press, New York, 1976. MR**0460423 (57:417)****[4]**D. E. Littlewood,*The Theory of Group Characters*, Oxford Univ. Press, Oxford, 1958.**[5]**R. Steinberg, "The representations of , , and ,"*Canad. J. Math.*, v. 3, 1951, pp. 225-235. MR**0041851 (13:10e)****[6]**R. Steinberg, "A geometric approach to the representations of the full linear group over a Galois field,"*Trans. Amer. Math. Soc.*, v. 71, 1951, pp. 274-282. MR**0043784 (13:317d)**

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DOI:
https://doi.org/10.1090/S0025-5718-1986-0815851-X

Article copyright:
© Copyright 1986
American Mathematical Society