(adsbygoogle = window.adsbygoogle || []).push({}); Question

Let [itex]G=GL(2,\mathbb{R})[/itex] be the group of invertible [itex]2\times 2[/itex] martrices with real entries. Consider the action of [itex]G[/itex] on itself by conjugation. For the element

[tex]A= \left(\begin{array}{cc}

2 & 1 \\

0 & 3

\end{array}\right)[/tex]

of[itex]G[/itex], describe (i) the orbit and (ii) the isotropy group of[itex]A[/itex]

Sorry, I have no working out because I am completely stumped. Can anyone give me some helpful hints or pointers. Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Group Action on a Set

**Physics Forums | Science Articles, Homework Help, Discussion**