On the nilpotency class of a multiplicative group of a modular group algebra of a dihedral 2-group |
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Authors: | A. B. Konovalov |
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Affiliation: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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Abstract: | 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 2n. This implies that the nilpotency class of the multiplicative group is equal to 2n–2, i.e., to the order of the commutant of the dihedral group.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 39–45, January, 1995. |
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