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

  • Paek, Dae-Hyun (Department of Mathematics Education, Busan National University of Education)
  • Published : 2004.11.01

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 $G_1$ > $G_2$ > ... of normal subgroups of infinite index in G. We characterize the structure of locally nilpotent groups satisfying this chain condition.

References

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Cited by

  1. ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX vol.47, pp.4, 2010, https://doi.org/10.4134/BKMS.2010.47.4.687