Automorphisms of regular wreath product \(p\)-groups. (Q963489)
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scientific article; zbMATH DE number 5695200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Automorphisms of regular wreath product \(p\)-groups. |
scientific article; zbMATH DE number 5695200 |
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Automorphisms of regular wreath product \(p\)-groups. (English)
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20 April 2010
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Summary: We present a useful new characterization of the automorphisms of the regular wreath product group \(P\) of a finite cyclic \(p\)-group by a finite cyclic \(p\)-group, for any prime \(p\), and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group \(\Aut(P)\), where \(P\) is the regular wreath product of a finite cyclic \(p\)-group by an arbitrary finite \(p\)-group.
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automorphisms
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regular wreath products
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finite \(p\)-groups
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orders of automorphism groups
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