Vol. 42, No. 3, 1972

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Generalized quasicenter and hyperquasicenter of a finite group

James B. Derr and N. P. Mukherjee

Vol. 42 (1972), No. 3, 621–628
Abstract

The notion of quasicentral element is generalized to p-quasicentral element and the p-quasicenter and the p-hyperquasicenter are defined. It is shown that the p-quasicenter is p-supersolvable and the p-hyperquasicenter is p-solvable.

Mathematical Subject Classification 2000
Primary: 20D25
Milestones
Received: 12 April 1971
Revised: 13 January 1972
Published: 1 September 1972
Authors
James B. Derr
N. P. Mukherjee