LOCALLY NILPOTENT GROUPS WITH THE MINIMAL CONDITION ON NORMAL SUBGROUPS OF INFINITE INDEX

Title & Authors
LOCALLY NILPOTENT GROUPS WITH THE MINIMAL CONDITION ON NORMAL SUBGROUPS OF INFINITE INDEX
Paek, Dae-Hyun;

Abstract
A group G is said to satisfy the minimal condition on normal subgroups of infinite index if there does not exist an infinite properly descending chain $\small{G_1}$ > $\small{G_2}$ > ... of normal subgroups of infinite index in G. We characterize the structure of locally nilpotent groups satisfying this chain condition.
Keywords
locally nilpotent groups;minimal condition on infinite normal subgroups of infinite index;
Language
English
Cited by
1.
METANILPOTENT GROUPS WITH CHAIN CONDITIONS FOR NORMAL SUBGROUPS OF INFINITE ORDER OR INDEX,;

대한수학회보, 2008. vol.45. 1, pp.105-109
2.
ABELIAN-BY-NILPOTENT GROUPS WITH CHAIN CONDITIONS FOR NORMAL SUBGROUPS OF INFINITE ORDER OR INDEX,;

대한수학회보, 2007. vol.44. 4, pp.763-769
3.
ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX,;

대한수학회보, 2010. vol.47. 4, pp.687-691
1.
ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX, Bulletin of the Korean Mathematical Society, 2010, 47, 4, 687
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