# Normalizer &amp; normal subgroup related

1. Mar 3, 2008

### iibewegung

[SOLVED] Normalizer &amp; normal subgroup related

Let $$H \subset G$$.
Why is $$H$$ a normal subgroup of its own normalizer in $$G$$?

2. Mar 3, 2008

### iibewegung

Sorry for wasting space... I figured it out.
(wasn't reading the definition of normalizers carefully)

It was one of those things that one could attach "Clearly," at the front of the statement.

Unfortunately, this leads to another question...
How do I delete this thread?

Last edited: Mar 3, 2008