Finite p-groups all of whose maximal subgroups, except one, have its derived subgroup of order ≤ p
Let G be a finite p-group which has exactly one maximal subgroup H such that |H'|>p. Then we have d(G)=2, p=2, H' is a four-group, G' is abelian of order 8 and type (4,2), G is of class 3 and the structure of G is completely determined.
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
December 2012
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| In: |
Glasnik matematički
Year: 2012, Jahrgang: 47, Heft: 2, Pages: 325-332 |
| ISSN: | 1846-7989 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=138314
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| Verfasserangaben: | Zvonimir Janko |
MARC
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| 520 | |a Let G be a finite p-group which has exactly one maximal subgroup H such that |H'|>p. Then we have d(G)=2, p=2, H' is a four-group, G' is abelian of order 8 and type (4,2), G is of class 3 and the structure of G is completely determined. | ||
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