A cycle (i iz iz .. in) is called an n-cycle. If n = 2 then the n-cycle is called atransposition. Note that an n-cycle (i iz iz ... in) can always be expressed as aproduct of transpositions as follows(i iz iz ... in) = (i1 in)(i1 in-1)(i1 in-2) ·*· (i1 i3)(i, iz).Write each of the following as a product of transpositions.(a) (1 32 4) E S4.(b) (1 4 3)(25 6 7) e S7.(c) (14 3 6)(2 9 5 7 8) E Sg.

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A cycle (i iz is ... in) is called an n-cycle. If n 2 then the n-cycle is called transposition. Note that an n-cycle (i iz is ... in) can always be expressed as product of transpositions as follows (i, iz is ... in) = (i1 in)(in in-1)(n in-2) (i, i3)(i, i2). Write cach of the following as a product of transpositions. (a) (1 32 4) e S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (143 6)(2 95 7 8) e Sy.

A cycle (i iz is ... in) is called an n-cycle. If n 2 then the n-cycle is called transposition. Note that an n-cycle (i iz is ... in) can always be expressed as product of transpositions as follows (i, iz is ... in) = (i1 in)(in in-1)(n in-2) (i, i3)(i, i2). Write cach of the following as a product of transpositions. (a) (1 32 4) e S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (143 6)(2 95 7 8) e Sy.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 87E

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