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# What order are elements processed in a Cayley table?

Posted on 2011-03-16
Medium Priority
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If I have an element a in my row and b in my column of a Cayley table, do I evaluate

a o b

or

b o a

??
0
Question by:purplesoup
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Expert Comment

ID: 35146702
Row than column

a o b or = ab
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LVL 11

Accepted Solution

Plantwiz earned 2000 total points
ID: 35146748
row than column, but you fill the diagonial in first.

but what is your identity element? Or which element is the one you can have as an inverse of itself in your example?  As that element is filled in on the grid diagonal first than the rest can be solved.
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Author Comment

ID: 35148195
Actually I am assuming you mean row *then* column, wouldn't that actually be

b o a ?
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