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Journal of the London Mathematical Society 1997 55(2):341-347; doi:10.1112/S0024610796004784
© 1997 by London Mathematical Society
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© The London Mathematical Society

Subclasses of locally Minimax Groups Closed under Normal Joins

P. Longobardi, M. Maj and A. H. Rhemtulla

Dipartimento di Matematica e Applicazioni, R. Caccioppoli, Università di Napoli 80126 Naples, Italy. E-mail: longobar{at}matna1.dma.unina.it maj{at}matna1.dma.unina.it
Department of Mathematical Sciences, University of Alberta Edmonton, Alberta, Canada, T6G 2G1. E-mail: akbar{at}malindi.math.ualberta.ca

Received 10 January 1996.

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.


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