- #1

maggie56

- 30

- 0

## Homework Statement

Hi, i need to show how many elements there are in the group u={B in

**B**: det(B)=1}

where

**B**is the group of invertible matrices -

**B**= b(ij) in GLn(Fp)

where Fp is a field with p elements.

## Homework Equations

## The Attempt at a Solution

I know Fp^n has p^n elements, and the number of elements in GLn(Fp) = [tex]\prod (p^n - p^i) [/tex] for i=1 to n.

But this doesn't include anything about the determinant being 1 and i can't see how to include this.

Thanks any help will be greatly appreciated.

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