Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**sheldon69****Member**- Registered: 2011-10-28
- Posts: 2

Hi, another question from my textbook I can't seem to get.

Q: Let G be the group of matrices of the form

where and . Determine the conjugacy classes in G, and sketch them in the (x,y)-plane.Thanks for any help.

Offline

**scientia****Member**- Registered: 2009-11-13
- Posts: 222

The inverse of the matrix is . Let's calculate the conjugate of the matrix by the matrix :

Hence the conjugacy class containing

is .*Last edited by scientia (2012-10-14 21:10:03)*

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

scientia wrote:

This step doesn't look right.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,237

Hi all;

anonimnystefy wrote:

This step doesn't look right.

You are correct.

Hi scientia;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**scientia****Member**- Registered: 2009-11-13
- Posts: 222

Thanks for pointing out.

I've corrected the error in my post.

Offline

Pages: **1**