Finite groups with few non-cyclic subgroups. II. (Q2859270)
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scientific article; zbMATH DE number 6223401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups with few non-cyclic subgroups. II. |
scientific article; zbMATH DE number 6223401 |
Statements
7 November 2013
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cyclic subgroups
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numbers of conjugacy classes
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non-cyclic subgroups
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finite soluble groups
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derived lengths
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Fitting lengths
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maximal subgroups
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finite \(p\)-groups
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Finite groups with few non-cyclic subgroups. II. (English)
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Let \(G\) be a finite group and let \(d(G)\) denote the number of non-cyclic subgroups of \(G\) up to conjugacy. It is obvious that groups with \(d(G)=0\) are cyclic. Groups with \(d(G)=1\) or 2 have been classified by different authors. In the present paper the authors determine all finite groups with \(d(G)=3\).NEWLINENEWLINE For part I see \textit{S. Li} and \textit{X. Zhao} [J. Group Theory 10, No. 2, 225-233 (2007; Zbl 1123.20020)].
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