On the connectivity of the subpair complex of a block (Q5936925)
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scientific article; zbMATH DE number 1616185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the connectivity of the subpair complex of a block |
scientific article; zbMATH DE number 1616185 |
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On the connectivity of the subpair complex of a block (English)
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3 April 2002
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Let \(G\) be a finite group and \(p\) a prime. It is known that the poset of nontrivial \(p\)-subgroups of \(G\) is disconnected if and only if \(G\) contains a strongly \(p\)-embedded subgroup. The author proves an analogue of this result for blocks.
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blocks
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defect groups
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subpairs
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strongly \(p\)-embedded subgroups
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\(k\)-generated \(p\)-cores
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finite groups
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