Omega-1 of center not is minimal characteristic
This article gives the statement, and possibly proof, of the fact that for a group, the subgroup obtained by applying a given subgroup-defining function (i.e., Omega-1 of center) does not always satisfy a particular subgroup property (i.e., minimal characteristic subgroup)
View subgroup property satisfactions for subgroup-defining functions View subgroup property dissatisfactions for subgroup-defining functions
Example of an Abelian group
Consider . Then, . On the other hand, the subgroup is a strictly smaller nontrivial characteristic subgroup of .