Finite nonabelian p-groups of exponent >p with a small number of maximal Abelian subgroups of exponent >p

• Verfasst von: Janko, Zvonimir
• Titel: Finite nonabelian p-groups of exponent >p with a small number of maximal Abelian subgroups of exponent >p
• Verf.angabe: Zvonimir Janko
• Umfang: 7 S.
• Fussnoten: Gesehen am 22.02.2018
• Titel Quelle: Enthalten in: Glasnik matematički
• Jahr Quelle: 2017
• Band/Heft Quelle: 52(2017), 1, S. 99-105
• ISSN Quelle: 1846-7989
• DOI: doi:10.3336/gm.52.1.07
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1570111979

Abstract

Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly p maximal abelian subgroups of exponent >p and this was done here in Theorem 1 for p=2 and in Theorem 2 for p>2. The next critical case, where G has exactly p+1 maximal abelian subgroups of exponent >p was done only for the case p=2 in Theorem 3.