Dissertation (Metadaten)
Titel:On generalized smooth groups
Autor:Abdel-Moneim Mohamed Mohamed
Fakultät:Mathematisch-Naturwissenschaftliche Fakultät
DDC Sachgebiet:510 Mathematik
Datum der mdl. Prüfung:09.07.2003
Referent(in):Prof. Dr. Roland Schmidt
Korreferent(en) Korreferentin:Prof. Dr. Helmut Bender
Beschreibung:A group G is called smooth if G has a maximal chain of subgroups in which any two intervals of the same length are isomorphic (as lattices). This concept was introduced by Schmidt (1997-1999). We will call a group G is totally smooth if all its maximal chains are smooth. The main concept in this thesis is that of a generalized smooth group. We will call G is generalized smooth if [G/H] is totally smooth for every subgroup H of prime order (as lattices).
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