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Topic: Conjugacy classes of GL(3,2)
Replies: 1   Last Post: Feb 21, 2000 3:26 AM

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Robin Chapman

Posts: 2,247
Registered: 12/6/04
Re: Conjugacy classes of GL(3,2)
Posted: Feb 21, 2000 3:26 AM
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In article <>,
Bilha Moscowitch <> wrote:
> I need to find the representations of all conjugacy classes of GL(3,2)
> and the size of each one.
> I'd appreciate any help/resource on this.

In the following table, s is the size of the class, n its order and
f the minimum polynomial of the matrices repesenting the elements
n s f
1 1 X + 1
2 21 X^2 + 1
3 56 X^3 + 1
4 42 X^3 + X^2 + X + 1
7 24 X^3 + X + 1
7 24 X^3 + X^2 + 1.

Robin Chapman,
"`The twenty-first century didn't begin until a minute
past midnight January first 2001.'"
John Brunner, _Stand on Zanzibar_ (1968)

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