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On the nonsolvability of the symmetric group \(S_n\) (\(n>4\)). (Zur Unauflösbarkeit der symmetrischen Gruppe \(S_n\) (\(n>4\)).) (German) Zbl 0579.20004
Using elementary commutator calculations the author proves that \(S_n\) (\(n>4\)) is not solvable.

MSC:
20B30 Symmetric groups
20D06 Simple groups: alternating groups and groups of Lie type
20F12 Commutator calculus
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