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

Autor: Mazurok, O.
Zdroj: Ukrainian Mathematical Journal; Apr1998, Vol. 50 Issue 4, p605-611, 7p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index