Shmidt group

From Groupprops
Jump to: navigation, search
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
The version of this for finite groups is at: finite Shmidt group

Definition

A Shmidt group is a group which is not nilpotent, even though all its proper subgroups are nilpotent.