Pascal's Triangle and Its Relatives

Exercises

Pascal's triangles of some finite groups

1. The presence of the identity element (0, 0) down the diagonal of the group table shows that every element has order at most 2; only the identity element has order 1.

+	(0,0) (1,0) (0,1) (1,1)
(0,0) (1,0) (0,1) (1,1)	(0,0) (1,0) (0,1) (1,1) (1,0) (0,0) (1,1) (0,1) (0,1) (1,1) (0,0) (1,0) (1,1) (0,1) (1,0) (0,0)

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