How to prove the order of x,y in this case

ranoo · Oct 21, 2010

If x^-1yx=y^-1 and y^-1xy=x^-1 for the elements x,y of a group G , show that the order of x equal the order of y equal 4

ranoo · Oct 25, 2010

Please help me....

Wizlem · Oct 25, 2010

Replace x^-1 in the equation on the left with the left hand side of the equation on the right and you can get y²x²=1. Multiply the left hand side of the equation on the right by the right hand side of the equation on left and vice versa and you'll get y²=x².

How to prove the order of x,y in this case

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