Dear Gap Forum,
I want to know whether some elements of GL_6(q), q=2^n, are in the maximal
subgroup G_2(q). For example, I have one sort of element that acts as
the matrix
/ S 0 \
\ 0 S^(q-1) /
where S is a Singer cycle in GL_3(q). I can describe the others in a
similar way.
I know I should probably be able to read that sort of thing from the
character tables in Chevie, but I haven't been able to interpret them well
enough to recognise whether my elements are in there or not.
Can anyone explain them for me please?
Beth
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