Subnormal joins and subgroups of finite index (Q788828)
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scientific article; zbMATH DE number 3843991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subnormal joins and subgroups of finite index |
scientific article; zbMATH DE number 3843991 |
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Subnormal joins and subgroups of finite index (English)
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1984
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The following theorem is proved: Suppose \(G=<H,K>\), where H, K are subnormal in G, and let A, B be such that H/A and K/B are finite \(\pi\)- groups. If G' has finite abelian section rank, then \(J=<A,B>\) has finite \(\pi\)-index in G. In particular, J is subnormal.
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subgroups of finite index
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joins of subnormal subgroups
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finite abelian section rank
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0.93105876
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0.89802974
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0.8968171
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0.89675385
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0.89479184
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