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HYPERCENTRAL GROUPS WITH ALL SUBGROUPS SUBNORMAL III
Published online by Cambridge University Press: 23 October 2001
Abstract
It is shown that a hypercentral group that has all subgroups subnormal and every non-nilpotent subgroup of bounded defect is nilpotent. As a consequence, a hypercentral group of length at most ω in which every subgroup is subnormal is nilpotent.
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- © The London Mathematical Society 2001
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