A method is obtained for counting the normal subgroups N of a noneuclidean crystallographic group Γ without reflections, with a given finite quotient group Γ/N; this this has applications to the ...
We show that the normal nilpotent subgroups of certain solvable groups are compactly generated. A solvable group which satisfies a maximal condition on closed normal subgroups is compactly generated.
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