Glatte p-Gruppen |
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Authors: | H Schnabel |
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Institution: | 1.Zentrum für Mathematik, M6, TU München, Arcisstr. 21, D-80290 München,DE |
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Abstract: | A p-group G is called smooth if there is a smooth chief series in G, that is a chief series in which any two factor groups of the same order are isomorphic. It is shown that in most cases non-abelian smooth p-groups are of nilpotency class two and that a smooth p-group is not much larger than the largest abelian group in its smooth chief series. |
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