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.
This is a preview of subscription content, log in via an institution to check access.
Author information
Authors and Affiliations
Additional information
Eingegangen am 2. 5. 2000
Rights and permissions
About this article
Cite this article
Schnabel, H. Glatte p-Gruppen. Arch. Math. 78, 1–7 (2002). https://doi.org/10.1007/s00013-002-8209-1
Issue Date:
DOI: https://doi.org/10.1007/s00013-002-8209-1