Finite p-groups all of whose maximal subgroups, except one, have its derived subgroup of order ≤ p

• Verfasst von: Janko, Zvonimir [VerfasserIn]
• Titel: Finite p-groups all of whose maximal subgroups, except one, have its derived subgroup of order ≤ p
• Verf.angabe: Zvonimir Janko
• Umfang: 8 S.
• Fussnoten: DOI funktioniert nicht. ; Gesehen am 23.02.2018
• Titel Quelle: Enthalten in: Glasnik matematički
• Jahr Quelle: 2012
• Band/Heft Quelle: 47(2012), 2, S. 325-332
• ISSN Quelle: 1846-7989
• DOI: doi:10.3336/gm.47.2.08
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1570146551

Abstract

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.