Characteristic subgroups are not preserved by isomorphisms of tables of marks (Q423984)
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scientific article; zbMATH DE number 6039615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characteristic subgroups are not preserved by isomorphisms of tables of marks |
scientific article; zbMATH DE number 6039615 |
Statements
Characteristic subgroups are not preserved by isomorphisms of tables of marks (English)
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30 May 2012
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The authors provide two non-isomorphic groups \(G\) and \(Q\) of order 96 which have isomorphic tables of marks. In the main result, they show that the subgroup of \(Q\) generated by \(x\) is not a characteristic subgroup. In particular, the isomorphism of tables of marks between \(G\) and \(Q\) maps the centre of \(G\) to a non-characteristic subgroup of \(Q\).
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table of marks
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characteristic subgroup
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0.7543286681175232
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0.7343529462814331
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