Talk:Cayley table
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| Mathematics rating: | Start Class | Mid Priority | Field: Algebra | ||
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[edit] Request for simple example
Perhaps someone should add a simple example to this page like
+ 0 1 0 0 1 1 1 0
I might do it later but in the meantime, back to work .... OoberMick 11:04, 9 Jun 2005 (UTC)
[edit] Caryler table applet
I created a Cayley Table generator and identifier applet, but I do not know if it is appropriate to add an external link to it. Jhbarr 16:46, 18 October 2007 (UTC)
[edit] Cayley table reasoning
I don't understand the reasoning at the end of the article's long example: "As we have managed to fill in the whole table without obtaining a contradiction, we have found a group of order 6". I agree that the structure obtained is a group of order 6, but I don't enough work has been done in the example to deduce that it's a group, because associativity was not checked. Or did I miss something? —Preceding unsigned comment added by 134.193.88.39 (talk) 15:56, 11 May 2008 (UTC)
- I agree. It does not appear to me that enough conditions have been checked. A very similar argument in structure is coset enumeration, and there if a "cayley" table is filled in (at least the columns corresponding to generators, and the rows corresponding to coset representatives of a subgroup H), then the order of the group (or at least the index of H in G), is found. Using H=1, this does allow you to fill in a few columns of the Cayley table from a presentation of the group. JackSchmidt (talk) 16:09, 11 May 2008 (UTC)
