Set Theory and Algebra GATE 2014 Question #10010 with Solution

GATE 2014 · session-3

Engineering MathematicsSet Theory and AlgebramediumNAT2 marks

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 = e where e is the identity element. The maximum number of elements in such a group is __________.

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