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28/06/2014, 19:20
... series of substitutions s, s2 , s3 , cannot be all distinct Suppose that sm+1 is the first of the series which is the same as s, so that sm+1 = s Then sm ss−1 = ss−1 , or sm = s0 [8] THEORY OF FINITE ... relation st = st involves t=t The result of performing r times in succession the same substitution s is represented symbolically by sr Since, as has been seen, products of substitutions obey the associative ... and Sq Sj = Sr , , S1 , S2 , , SN −1 Si , S1 Si , S2 Si , , SN −1 Si , S1 , S2 , , SN −1 , Sj , S1 Sj , S2 Sj , , SN −1 Sj [21] CHAPTER II 27 successively performed, change Sp into Sr...