Consider the permutation T = (t aq gblvxh)(n s k w fue)(y codjr)(pzmi). (a) Showing your working, and working entirely in disjoint cycle notation, give the disjoint cycle notations for 7 and for 1-1, and then compute T*(x) and -'(c). (b) Justifying your answer, find two positive powers a and ß such that ª = 1 = T°.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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Consider the permutation
п %3 (taqgblvхh) (nskwfue)(усоdjr)(pzmi).
(a) Showing your working, and working entirely in disjoint cycle notation, give the
disjoint cycle notations for 7 and for 7-1, and then compute n*(x) and -'(c).
(b) Justifying your answer, find two positive powers a and B such that aª
= T = T
Transcribed Image Text:Consider the permutation п %3 (taqgblvхh) (nskwfue)(усоdjr)(pzmi). (a) Showing your working, and working entirely in disjoint cycle notation, give the disjoint cycle notations for 7 and for 7-1, and then compute n*(x) and -'(c). (b) Justifying your answer, find two positive powers a and B such that aª = T = T
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