Unformatted text preview: x or y , it remains in that form. Using x 6 = y 4 = 1, we need only consider multiplication on the left by y and on the right by x . Now the relation yxy1 = x1 yields yx i y1 = xi , consequently yx i y j = xi y j + 1 , which is alright. Also yxy1 = x1 yields yx1 y1 = x and hence y j xyj = x or x1 . We deduce that x i y j x = x i ± 1 y j and again we have an expression in the requisite form. We now see that  R / R F  ≤ 6 * 4 as required....
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This note was uploaded on 01/02/2012 for the course MATH 5125 taught by Professor Palinnell during the Fall '07 term at Virginia Tech.
 Fall '07
 PALinnell
 Math, Algebra

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