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| 1. |
There are two elements x, y in a group (G,∗) such that every element in the group can be written as a product of some number of x’s and y’s in some order. It is known that x ∗ x = y ∗ y = x ∗ y ∗ x ∗ y = y ∗ x ∗ y ∗ x = ewhere e is the identity element. The maximum number of elements in such a group is __________.(A) 2(B) 3(C) 4(D) 5 |
| Answer» None | |