On \(p\)- soluble groups with exactly two defect groups (Q1345843)
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scientific article; zbMATH DE number 734502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(p\)- soluble groups with exactly two defect groups |
scientific article; zbMATH DE number 734502 |
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On \(p\)- soluble groups with exactly two defect groups (English)
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4 April 1995
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Finite groups are considered, in which the defect group of a \(p\)-block is a Sylow \(p\)-subgroup or a fixed \(p\)-subgroup \(D < P\). The results describe relations between \(O_ p(G)\) and this \(D\). For example it is proved that for \(D = 1\) such groups have \(p\text{TI}\)-property if in the case \(p =2\) the group \(G\) is quaternion free.
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finite groups
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defect group
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\(p\)-block
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Sylow \(p\)-subgroup
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\(p\text{TI}\)- property
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