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Dear All! I tried for several evenings to find an answer to the following basic question and I cannot see what is the answer: Given an integer $n\geq 3$, does there exist a an (infinite) group with exactly $n$ normal subgroups? If "yes", what about the same questions for finitely generated groups, finitely presented groups? I guess this must have been done. |
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(F.g., f.p.) groups with exactly $n$ normal subgroupsDear All! I tried for several evenings to find an answer to the following basic question and I cannot see what is the answer: Given an integer $n\geq 3$, does there exist a group with exactly $n$ normal subgroups? If "yes", what about the same questions for finitely generated groups, finitely presented groups? I guess this must have been done.
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