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QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of disjoint cycles. b) (2)Find the order of a. c) (3)Write a as a product of transpositions. d) (2)Is a an even or odd permutation?

QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of disjoint cycles. b) (2)Find the order of a. c) (3)Write a as a product of transpositions. d) (2)Is a an even or odd permutation?

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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Abstract Algebra I
QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3)Write a as a cycle or a product of disjoint cycles. b) (2) Find the order of a. c) (3)Write a as a product of transpositions. d) (2)Is a an even or odd permutation?
Transcribed Image Text:QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3)Write a as a cycle or a product of disjoint cycles. b) (2) Find the order of a. c) (3)Write a as a product of transpositions. d) (2)Is a an even or odd permutation?
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