Groups with elementary abelian commutant of at most p2th order

  • О. O. Mazurok

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.
Published
25.04.1998
How to Cite
MazurokО. O. “Groups With Elementary Abelian Commutant of at Most p2th Order”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 4, Apr. 1998, pp. 534-9, https://umj.imath.kiev.ua/index.php/umj/article/view/4923.
Section
Research articles