Finite groups whose Abelian subgroups are TI-subgroups. (Q865472)
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scientific article; zbMATH DE number 5126070
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups whose Abelian subgroups are TI-subgroups. |
scientific article; zbMATH DE number 5126070 |
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Finite groups whose Abelian subgroups are TI-subgroups. (English)
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14 February 2007
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The finite groups \(G\) satisfying the condition that either \(A\cap A^x=1\), or \(A\cap A^x=A\) for all \(x\in G\) are classified. This extends a theorem of \textit{G. Walls} [Arch. Math. 32, 1-4 (1979; Zbl 0388.20011)].
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finite groups
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TI-sets
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trivial intersection groups
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0.9872385
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0.9609816
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0.9357025
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0.9321345
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