Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LOCALLY NILPOTENT GROUPS WITH THE MAXIMAL CONDITION ON INFINITE NORMAL SUBGROUPS

  • Paek, Dae-Hyun (Department of Mathematics Education Busan National University)
  • Published : 2004.08.01
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Abstract

A group G is said to satisfy the maximal condition on infinite normal subgroups if there does not exist an infinite properly ascending chain of infinite normal subgroups. We characterize the structure of locally nilpotent groups satisfying this chain condition. We then show how to construct locally nilpotent groups with the maximal condition on infinite normal subgroups, but not the maximal condition on subgroups.

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References

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  2. THE MAXIMAL AND MINIMAL CONDITIONS FOR NORMAL SUBGROUPS OF INFINITE ORDER OR INDEX vol.33, pp.1, 2005, https://doi.org/10.1081/AGB-200040936