Groups with the N-invariance condition for noncyclic subgroups (Q1078666)
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scientific article; zbMATH DE number 3961950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups with the N-invariance condition for noncyclic subgroups |
scientific article; zbMATH DE number 3961950 |
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Groups with the N-invariance condition for noncyclic subgroups (English)
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1984
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We study groups with the N-invariance condition for noncyclic subgroups. A subgroup H of a group G is called N-invariant in G if H has finite index in some invariant subgroup N of G. Theorem: In a group G containing a finite noncyclic subgroup, each noncyclic subgroup is N-invariant if and only if the commutator subgroup of G is finite.
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subgroups of finite index
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N-invariance condition
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noncyclic subgroups
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commutator subgroup
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