Ukrainian Mathematical Journal

, Volume 50, Issue 4, pp 605–611 | Cite as

Groups with elementary abelian commutant of at most p 2th order

  • O. O. Mazurok
Article

Abstract

We obtain a representation of nilpotent groups with a commutant of the type (p) or (p, p) that has the form of a product of two normal subgroups. One of these subgroups is constructively described as a Chernikov p-group of rank 1 or 2, and the other subgroup has a certain standard form. We also obtain a representation of nonnilpotent groups with a commutant of the type (p) or (p, p) in the form of a semidirect product of a normal subgroup of the type (p) or (p, p) and a nilpotent subgroup with a commutant of order p or 1.

Keywords

Normal Subgroup Direct Product Finite Group Cyclic Group Nilpotent Group 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • O. O. Mazurok
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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