mersenneforum.org  

Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Math

Reply
 
Thread Tools
Old 2008-06-09, 07:30   #1
wpolly
 
wpolly's Avatar
 
Sep 2002
Vienna, Austria

3×73 Posts
Default What is this group?

on http://www.win.tue.nl/~aeb/graphs/Brouwer-Haemers.html, I see that the automorphism group of a certain graph is described as 3^4:((2\times S_6).2).

I understand this group is a composition of Z_3^4,Z_2\times S_6,Z_2,but exactly what does the . and : represent? Is it semidirect product, wreath product, or something else? I've been unable to find more informations on this notation elsewhere..

Last fiddled with by wpolly on 2008-06-09 at 07:54
wpolly is offline   Reply With Quote
Old 2008-06-09, 12:14   #2
R.D. Silverman
 
R.D. Silverman's Avatar
 
Nov 2003

22·5·373 Posts
Default

Quote:
Originally Posted by wpolly View Post
on http://www.win.tue.nl/~aeb/graphs/Brouwer-Haemers.html, I see that the automorphism group of a certain graph is described as 3^4:((2\times S_6).2).

I understand this group is a composition of Z_3^4,Z_2\times S_6,Z_2,but exactly what does the . and : represent? Is it semidirect product, wreath product, or something else? I've been unable to find more informations on this notation elsewhere..
It appears to be a wreath product.
R.D. Silverman is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
M81 group of galaxies xilman Astronomy 1 2018-01-31 06:02
how to join a group gian92 Software 0 2008-02-22 21:08
Lie group E8 mapped ixfd64 Lounge 13 2007-03-23 15:06
Group Effort robert44444uk Sierpinski/Riesel Base 5 15 2005-06-25 14:07
GROUP IDEAS TTn 15k Search 15 2003-09-23 16:28

All times are UTC. The time now is 13:52.


Sat May 28 13:52:50 UTC 2022 up 44 days, 11:54, 0 users, load averages: 1.63, 1.44, 1.50

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔