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).
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
11 January 2011
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| In: |
Archiv der Mathematik
Year: 2011, Jahrgang: 96, Heft: 2, Pages: 101-103 |
| ISSN: | 1420-8938 |
| DOI: | 10.1007/s00013-010-0212-3 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00013-010-0212-3
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| Verfasserangaben: | Zvonimir Janko |
MARC
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| 520 | |a 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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| 650 | 4 | |a Center of a p-group | |
| 650 | 4 | |a Nonabelian finite p-groups | |
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