Groups with elementary abelian commutant of at most p
2th order |
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Authors: | O O Mazurok |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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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.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 534–539, April, 1998. |
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Keywords: | |
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