Computing the irreducible characters of the group 𝐺𝐿₆(2)

Darafsheh, M. R.

doi:10.1090/S0025-5718-1986-0815851-X

Computing the irreducible characters of the group $\textrm {GL}_ 6(2)$

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.

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