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The existence of large commutator subgroups in factors and subgroups of non-nilpotent groups
Authors:Gil Kaplan  Arieh Lev
Institution:(1) The Academic College of Tel-Aviv-Yaffo, 4 Antokolsky St., Tel-Aviv, 64044, Israel
Abstract:We prove that any finite non-nilpotent group G must possess certain factors K / M with a large commutator subgroup, where M is nilpotent. These results are related to recent results by M. Herzog and the authors on large commutator subgroups.Received: 26 August 2004
Keywords:20D25
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