Local classes and pairwise mutually permutable products of finite groups. (Q970232)
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scientific article; zbMATH DE number 5706085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local classes and pairwise mutually permutable products of finite groups. |
scientific article; zbMATH DE number 5706085 |
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Local classes and pairwise mutually permutable products of finite groups. (English)
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10 May 2010
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Let \(G\) be a group; two subgroups \(H\) and \(K\) of \(G\) permute if the set \(HK\) is a subgroup of \(G\). Let the (finite) group \(G=G_1G_2\cdots G_s\) be the product of pairwise permutable subgroups \(G_1,G_2,\dots,G_s\). The aim of the paper under review is to study how does the structure of the factors \(G_i\) (\(1\leq i\leq s\)) affect the structure of the whole group \(G\). Unfortunately some interesting results obtained in this paper are too technical to be reproduced here.
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mutually permutable subgroups
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local classes
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\(p\)-soluble groups
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\(p\)-supersolubility
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products of subgroups
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0.8717418909072876
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0.8662083148956299
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0.8645431399345398
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0.8624486923217773
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0.853899359703064
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