Show that the diagonal subgroup is not normal in .
Consider and . We have , so that is not normal in .
Show that the diagonal subgroup is not normal in .
Consider and . We have , so that is not normal in .
On these pages you will find a slowly growing (and poorly organized) list of proofs and examples in abstract algebra.
No doubt these pages are riddled with typos and errors in logic, and in many cases alternate strategies abound. When you find an error, or if anything is unclear, let me know and I will fix it.
Comments
Perhaps you want to change the title: the diagonal subgroup is _not_ normal….
Thanks!
There seems an error: .
Fixed. Thanks!