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Supplementation in groups
Published online by Cambridge University Press: 07 August 2001
Abstract
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In this paper, groups are investigated in which all subgroups, all normal subgroups, or all characteristic subgroups have a proper supplement. This supplement can be either an arbitrary subgroup, a normal or a characteristic subgroup, resulting in nine classes of groups. Properties of these classes are studied such as containment and closure properties, and characterizations for several of these classes are given.
1991 Mathematics Subject Classification Primary 20E34, Secondary 20E15.
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- Research Article
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- 2000 Glasgow Mathematical Journal Trust
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