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Ukrainian Mathematical Journal

, Volume 47, Issue 1, pp 42–49 | Cite as

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

  • A. B. Konovalov
Article
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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 2 n . 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.

Keywords

Group Algebra Wreath Product Multiplicative Group Dihedral Group Modular Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. B. Konovalov
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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