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Zbl 0579.20004
Baumgartner, Karlheinz
On the nonsolvability of the symmetric group $S_n$ ($n>4$). (Zur Unauflösbarkeit der symmetrischen Gruppe $S_n$ ($n>4$).) (German)
[J] Elem. Math. 40, 123 (1985). ISSN 0013-6018; ISSN 1420-8962/e

Using elementary commutator calculations the author proves that $S_n$ ($n>4$) is not solvable.

MSC 2000:: *20B30 General theory of symmetric groups
20D06 Simple groups: alternating groups and groups of Lie type
20F12 Commutator calculus (group theory)

Keywords: nonsolvability; commutator calculations; symmetric groups

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Zentralblatt MATH Berlin [Germany]