Let f be the following permutation: 1 2 3 4 5 6 7 f = 4 3 6 2 1 5 7 a. Determine the group to which f belongs. The permuation f is an element of the symmetric group Sn, where n = b. Write the permutation f as a composition (or product) of disjoint cycles.

Let f be the following permutation: 1 2 3 4 5 6 7 f = 4 3 6 2 1 5 7 a. Determine the group to which f belongs. The permuation f is an element of the symmetric group Sn, where n = b. Write the permutation f as a composition (or product) of disjoint cycles.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.1: Definition Of A Group

Problem 45E: 45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )

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Question

Let f be the following permutation:
´1 2 3 4 5 6 7
f =
4
3
6 2
15 7
a. Determine the group to which f belongs.
The permuation f is an element of the symmetric group Sn, where n =
b. Write the permutation f as a composition (or product) of disjoint cycles.

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