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In the group S6, consider the elements 1 2 3 4 5 6 4 3 6 5 1 2 1 2 3 4 56 35 4 2 6 1 a = and B = (a) Write a and B as a product of disjoint cycles. (b) Write a o B and Boa as products of disjoint cycles. (c) Write a and B as a product of transpositions. Determine if a and B are even or odd permutations.

In the group S6, consider the elements 1 2 3 4 5 6 4 3 6 5 1 2 1 2 3 4 56 35 4 2 6 1 a = and B = (a) Write a and B as a product of disjoint cycles. (b) Write a o B and Boa as products of disjoint cycles. (c) Write a and B as a product of transpositions. Determine if a and B are even or odd permutations.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In the group S6, consider the elements 1 2 3 4 5 6 4 3 6 5 1 2 1 2 3 4 5 6 a = and B: 3 5 4 2 6 1 (a) Write a and B as a product of disjoint cycles. (b) Write a o B and Boa as products of disjoint cycles. (c) Write a and B as a product of transpositions. Determine if a and B are even or odd permutations.
Transcribed Image Text:In the group S6, consider the elements 1 2 3 4 5 6 4 3 6 5 1 2 1 2 3 4 5 6 a = and B: 3 5 4 2 6 1 (a) Write a and B as a product of disjoint cycles. (b) Write a o B and Boa as products of disjoint cycles. (c) Write a and B as a product of transpositions. Determine if a and B are even or odd permutations.
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