Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2007; 44(4): 763-769

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

Abelian-by-nilpotent groups with chain conditions for normal subgroups of infinite order or index

Dae Hyun Paek

Busan National University

Abstract

We study the structure of abelian-by-nilpotent groups satisfying the maximal condition on infinite normal subgroups or the minimal condition on normal subgroups of infinite index.

Keywords: maximal condition, minimal condition

MSC numbers: 2.00E+16