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SUBCLASSES OF LOCALLY MINIMAX GROUPS CLOSED UNDER NORMAL JOINS

Published online by Cambridge University Press:  01 April 1997

P. LONGOBARDI ,
M. MAJ  and
A. H. RHEMTULLA
P. LONGOBARDI
Affiliation:
Dipartimento di Matematica e Applicazioni, R. Caccioppoli, Università di Napoli, 80126 Naples, Italy. E-mail: longobar@matna1.dma.unina.itmaj@matna1.dma.unina.it
M. MAJ
Affiliation:
Dipartimento di Matematica e Applicazioni, R. Caccioppoli, Università di Napoli, 80126 Naples, Italy. E-mail: longobar@matna1.dma.unina.itmaj@matna1.dma.unina.it
A. H. RHEMTULLA
Affiliation:
Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1. E-mail: akbar@malindi.math.ualberta.ca
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Abstract

It is well known that the product of normal locally nilpotent (locally polycyclic) groups is again locally nilpotent (locally polycyclic). This is not true for locally solvable groups. We look at a class between locally polycyclic and locally solvable groups that is closed under normal products.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 341 - 347
Copyright
The London Mathematical Society 1997

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