Bulletin of the Korean Mathematical Society (대한수학회보)

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ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX

  • Russo, Alessio (DIPARTIMENTO DI MATEMATICA SECONDA UNIVERSITA DI NAPOLI)
  • Received : 2009.01.27
  • Published : 2010.07.31
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Abstract

In this article we will prove that a generalized radical group satisfying the maximal condition for subnormal subgroups of infinite order (the minimal condition for subnormal subgroups of infinite index, respectively) is soluble-by-finite. Such result generalizes that obtained by D. H. Paek in [5].

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References

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Cited by

  1. Groups Satisfying Chain Conditions on f-Subnormal Subgroups vol.15, pp.4, 2018, https://doi.org/10.1007/s00009-018-1190-0