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E: Prove that the conjugacy class (in S n ) of an even element pÎS n splits into two An -classes if and only if the lengths of the cyclic factors of p are pairwise different and odd (hint: use the formula).
E: Fill in the details of the proof of the lemma.
harald.fripertinger "at" uni-graz.at | http://www-ang.kfunigraz.ac.at/~fripert/ | UNI-Graz | Institut für Mathematik | UNI-Bayreuth | Lehrstuhl II für Mathematik |
Execises |