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10 Nov 2019
Let G be a finite group. Prove that each element of Gappears precisely once in each row and each column of the binarytable of G.
Hint: Use a cancelation property (4.6) to show that an element of Gcan appear at most once in a given row of the table. Then use thefact that
each row has as many entries as there are elements in the groupto argue that every element of the group appears in each row.
Let G be a finite group. Prove that each element of Gappears precisely once in each row and each column of the binarytable of G.
Hint: Use a cancelation property (4.6) to show that an element of Gcan appear at most once in a given row of the table. Then use thefact that
each row has as many entries as there are elements in the groupto argue that every element of the group appears in each row.
