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Old 2008-06-09, 07:30   #1
wpolly
 
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Sep 2002
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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
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Old 2008-06-09, 12:14   #2
R.D. Silverman
 
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Nov 2003

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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.
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