Finite nonabelian p-groups having exactly one maximal subgroup with a noncyclic center
We prove here that a nonabelian finite p-group G has exactly one maximal subgroup with a noncyclic center if and only if Z(G) is cyclic and G has exactly one normal abelian subgroup of type (p, p).
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 January 2011
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| In: |
Archiv der Mathematik
Year: 2011, Volume: 96, Issue: 2, Pages: 101-103 |
| ISSN: | 1420-8938 |
| DOI: | 10.1007/s00013-010-0212-3 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00013-010-0212-3
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| Author Notes: | Zvonimir Janko |
| Summary: | We prove here that a nonabelian finite p-group G has exactly one maximal subgroup with a noncyclic center if and only if Z(G) is cyclic and G has exactly one normal abelian subgroup of type (p, p). |
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| Item Description: | Gesehen am 04.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1420-8938 |
| DOI: | 10.1007/s00013-010-0212-3 |