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Finite groups in which some property of two-generator subgroups is transitive
Published online by Cambridge University Press: 17 April 2009
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Finite groups in which a given property of two-generator subgroups is a transitive relation are investigated. We obtain a description of such groups and prove in particular that every finite soluble-transitive group is soluble. A classification of finite nilpotent-transitive groups is also obtained.
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- Copyright © Australian Mathematical Society 2007
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