(a) Prove that S n is generated by then - 1 transpositions (12), (13), (14), ... ,...

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(a) Prove that S_nis generated by then - 1 transpositions (12), (13), (14), ... , (In).

(b) Prove that S_n is generated by the n - 1 transpositions (12), (23), (34), ... , (n - 1n).

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:08 AM

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(a) Prove that S n is generated by then - 1 transpositions (12), (13), (14), ... ,...

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a To show that Sn is generated by the set of transpositions 12 13 14 In we need to show that any per...View the full answer

Algebra Graduate Texts In Mathematics 73

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