Normalizer & normal subgroup related

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
Sign up Log in
1 reply · 3K views
iibewegung
Messages
14
Reaction score
0
[SOLVED] Normalizer & normal subgroup related

Let [tex]H \subset G[/tex].
Why is [tex]H[/tex] a normal subgroup of its own normalizer in [tex]G[/tex]?
 
Physics news on Phys.org
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:

Similar threads

Can You Prove These Properties of Normal Subgroups in Group Theory?
  • cbarker1
  • · Replies 2 ·
  • Linear and Abstract Algebra
Replies
2
Why Can't a Proper Normal Subgroup Contain a Sylow Normalizer in a Group?
  • mathmari
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
The extension is Galois iff H_i is a normal subgroup of H_{i-1}
  • mathmari
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Proof: Every Subgroup of Cyclic $H$ is Normal in $G$
  • mathmari
  • · Replies 12 ·
  • Linear and Abstract Algebra
Replies
12
How can we find all the normal subgroups?
  • mathmari
  • · Replies 11 ·
  • Linear and Abstract Algebra
Replies
11
Normal subgroups (Sylow Theorem)
  • mathgirl1
  • · Replies 2 ·
  • Linear and Abstract Algebra
Replies
2
Graduate Normalizers and normal subgroups.
  • Artusartos
  • · Replies 3 ·
  • Linear and Abstract Algebra
Replies
3
Show that it is a normal subgroup of S4
  • mathmari
  • · Replies 27 ·
  • Linear and Abstract Algebra
Replies
27
Graduate Question about normal subgroups/Lattice Isomorphism Theorem
  • epr1990
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Graduate Is a Subgroup of a Normal Subgroup Always Normal?
  • Bachelier
  • · Replies 15 ·
  • Linear and Abstract Algebra
Replies
15