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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1999 • Question 2

Question

Math 6310 • Algebra Fall 1999 • Question 2

Prove that the symmetric group \(S_n\) on \(n\) elements is generated by the transpositions \((12),(23),\ldots ,(n-1\ n)\).

Raw LaTeX

Prove that the symmetric group \(S_n\) on \(n\) elements is generated by the transpositions
\((12),(23),\ldots,(n-1\ n)\).

Topic Tags

Symmetric and Alternating Groups