• Aug 17th 2008, 03:39 AM
dimuk
Lam, T.Y. and Leep, David B
"Combinatorial structure on the automorphism group of S_6
Expo. Math. 11 no. 4, pp. 289-308 (1993).
• Aug 17th 2008, 10:59 AM
ThePerfectHacker
Quote:

Originally Posted by dimuk
Lam, T.Y. and Leep, David B
"Combinatorial structure on the automorphism group of S_6
Expo. Math. 11 no. 4, pp. 289-308 (1993).

No. It is a known result in group theory that the automorphism group of the symmetric group is itself execpt in the exceptional case $S_6$. To see the proof you can read this or you can go here.
• Aug 17th 2008, 07:49 PM
NonCommAlg
Quote:

Originally Posted by dimuk
Lam, T.Y. and Leep, David B
"Combinatorial structure on the automorphism group of S_6
Expo. Math. 11 no. 4, pp. 289-308 (1993).

i don't know what exactly you are looking for, but all questions you've been asking so far are very well-known results and can be found in almost any decent book in group theory.

for example my favorite is "An Introduction to the Theory of Groups", 4th edition, by Joseph Rotman.

There are not that many authors in algebra who are as brilliant as Joseph Rotman (group and field theory), Louis Rowen (ring theory), Igor Shafarevich (algebraic geometry), ...
• Aug 17th 2008, 10:32 PM
ThePerfectHacker
Quote:

Originally Posted by NonCommAlg
Joseph Rotman (group and field theory

Are you sure Rotman has a book on Field Theory?
Maybe you confused it with Roman?
(I made that confusion when I read what you wrote.)
• Aug 17th 2008, 11:33 PM
NonCommAlg
Quote:

Originally Posted by ThePerfectHacker
Are you sure Rotman has a book on Field Theory?
Maybe you confused it with Roman?
(I made that confusion when I read what you wrote.)

Joseph Rotman's book is called "Galois Theory". Steve Roman's "Field Theory" is great too.
• Aug 18th 2008, 12:27 AM
ThePerfectHacker
Quote:

Originally Posted by NonCommAlg
Joseph Rotman's book is called "Galois Theory". Steve Roman's "Field Theory" is great too.

Ah, okay. The book I have is by Morandi. In some ways it is more advanced than Roman - I really like that book.

Do you just not love talking about math book authors as if they are some novels authors that the common people discuss?
• Aug 22nd 2008, 01:28 AM
dimuk