A bound on the order of finitely generated nilpotent groups with an exponent (Q910843)
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scientific article; zbMATH DE number 4142288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bound on the order of finitely generated nilpotent groups with an exponent |
scientific article; zbMATH DE number 4142288 |
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A bound on the order of finitely generated nilpotent groups with an exponent (English)
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1989
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Bounds for the order of an r-generator nilpotent group G of exponent n and class c are considered. The theorem is false, already for abelian groups (the case \(c=1).\) \{Reviewer's remark: The methods used in the proof yield well-known crude upper bounds for the order of G. These can very much be improved upon by using \textit{H. Meier-Wunderli} [Comment. Math. Helv. 26, 1-5 (1952; Zbl 0046.022)].\}
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order
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r-generator nilpotent group
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exponent
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class
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