how to read the inverse of a number on the cayley table?

Asked by jagannathan.vr | 18th Feb, 2010, 12:55: PM

Expert Answer:

Cayley table for a group is essentially the ``multiplication table'' of the group. The columns and rows of the table (or matrix) are labeled with the elements of the group, and the cells represent the result of applying the group operation to the row-th and column-th elements.

 

You can see which element is the inverse by seeing which one repeats the row and column headings, since this means it doesn't change the elements.

 

 

Also  You can find the inverse of each element by seeing which other element makes it equal to the inverse. An element and its inverse put together make the inverse

 

Answered by  | 18th Feb, 2010, 02:40: PM

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