Commuting automorphism of \(p\)-groups with cyclic maximal subgroups. (Q2868477)
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scientific article; zbMATH DE number 6239001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commuting automorphism of \(p\)-groups with cyclic maximal subgroups. |
scientific article; zbMATH DE number 6239001 |
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17 December 2013
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\(p\)-groups
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commuting automorphisms
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cyclic maximal subgroups
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Commuting automorphism of \(p\)-groups with cyclic maximal subgroups. (English)
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Let \(G\) be a group. An automorphism \(\alpha\) of \(G\) is called a `commuting automorphism' if \([g,g^\alpha]=1\) for all \(g\in G\).NEWLINENEWLINE In this paper it is proved that in any \(p\)-group \(G\) with cyclic maximal subgroup, the set of commuting automorphisms is a subgroup of \(\Aut(G)\).
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