Question

Asked Oct 31, 2019

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Step 1

The problem concerns the groujp properties of the Quaternion group of order 8,

Step 2

a)Cayley table for G. Let G be as given. For the product xy, x is read from the column and y read from the row. For example , ij = k (i from 4th row and j from 6th column), Note that order is important , as the group is non-commutative. ij =k , whereas ji =-k

Step 3

b) From the table, -1 and (of course , the identity element ...

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