On the nilpotency class of a multiplicative group of a modular group algebra of a dihedral 2-group

• Datum: 1995
• Hauptverfasser: Konovalov, A. B., Коновалов, А. Б.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5380
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

It is proved that the wreath product of a second-order group and the commutant of a dihedral group is imbedded into a multiplicative group of a modular group algebra of a dihedral group of order 2 n . This implies that the nilpotency class of the multiplicative group is equal to 2 n−2, i.e., to the...