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 $\textrm {GL}_ 6(2)$
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by M. R. Darafsheh PDF

Math. Comp. 46 (1986), 301-319 Request permission

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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