Please don't provide handwritten solution... Find the order of the permutation f(1 2 3 4 5 64 6 3 5 1 2.Decompose f as a product of transpositions.that S is not an abelian group.2)in 56.Give an example to show

Given permutation f iswe can express f as product of distinct cycles as

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 9E: 9. Find all elements in each of the following groups such that . under addition. under...

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Let H1={ [ 0 ],[ 6 ] } and H2={ [ 0 ],[ 3 ],[ 6 ],[ 9 ] } be subgroups of the abelian group 12 under addition. Find H1+H2 and determine if the sum is direct.
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(1 2 3 4 5 4 6 3 5 1 Find the order of the permutation f(1 Decompose f as a product of transpositions. that S6 is not an abelian group. 2) in S6. Give an example to show