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Even permutations as a product of two conjugate cycles. (English) Zbl 0238.20004


MSC:

20B05 General theory for finite permutation groups
20F12 Commutator calculus
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References:

[1] Brenner, J. L., Research problems, 1. Group Theory, Bull. Amer. Math. Soc., 66, 275 (1960)
[2] Ore, O., Some remarks on commutators, (Proc. Amer. Math. Soc., 2 (1951)), 307-314 · Zbl 0043.02402
[3] Hsü, Ch’eng-hao, The commutators of the alternating group, Sci. Sinica, 14, 339-342 (1965)
[4] Ito, N., A theorem on the alternating group \(N_n(n\) ⩾ 5), Math. Japon., 2, 59-60 (1951)
[5] Husemoller, D. H., Ramified coverings of Riemann surfaces, Duke Math. J., 29, 167-174 (1962) · Zbl 0196.34001
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