Some bounds for the higher Schur multiplier of a finite group and its number of generators. (Q1399080)
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scientific article; zbMATH DE number 1963331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some bounds for the higher Schur multiplier of a finite group and its number of generators. |
scientific article; zbMATH DE number 1963331 |
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Some bounds for the higher Schur multiplier of a finite group and its number of generators. (English)
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13 August 2003
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In this article some inequalities for the higher Schur multiplier of finite groups with respect to the variety of nilpotent groups are established (Theorem 2.7). An upper bound for the minimal number of generators of higher Schur multipliers of a finite \(p\)-group of class at most \(n\) is given (Theorem 3.1).
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Schur multipliers
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nilpotent groups
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lower central series
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varieties of groups
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minimal numbers of generators
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finite \(p\)-groups
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