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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2017 • Question 2

Question

Math 6310 • Algebra Spring 2017 • Question 2

How many elements of the symmetric group \(S_n\) commute with a fixed \(k\)-cycle in \(S_n\)?

Raw LaTeX

How many elements of the symmetric group \(S_n\) commute with a fixed \(k\)-cycle in \(S_n\)?

Topic Tags

Symmetric and Alternating Groups