Comonolithic subnormal subgroups generating a finite group (Q1329607)
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scientific article; zbMATH DE number 604866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comonolithic subnormal subgroups generating a finite group |
scientific article; zbMATH DE number 604866 |
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Comonolithic subnormal subgroups generating a finite group (English)
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17 January 1996
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A finite group \(G\) is called comonolithic if it has a unique maximal normal subgroup \(M_G\). \textit{K. Doerk} [J. Algebra 51, 619-630 (1978; Zbl 0384.20016)] proved that every finite group \(G\) can be generated by its comonolithic subnormal subgroups. The aim of this short note is to further explore this situation by giving minimal sets of comonolithic subnormal subgroups that generate the group.
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unique maximal normal subgroup
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comonolithic subnormal subgroups
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minimal sets
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0.9211949
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