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 2008-06-09, 07:30 #1 wpolly     Sep 2002 Vienna, Austria 3×73 Posts 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
2008-06-09, 12:14   #2
R.D. Silverman

Nov 2003

22×5×373 Posts

Quote:
 Originally Posted by wpolly 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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