Dual-standard subgroups in non-periodic locally soluble groups (Q810142)

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scientific article; zbMATH DE number 4212305
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Dual-standard subgroups in non-periodic locally soluble groups
scientific article; zbMATH DE number 4212305

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    Dual-standard subgroups in non-periodic locally soluble groups (English)
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    1990
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    A subgroup D of a group G is said to be dual-standard if for all subgroups X and Y of G, we have \(<X\cap D,Y\cap D>=<X,Y>\cap D\). The dual-standard subgroups of finite groups were characterized by Zappa and this was later extended by the authors to locally finite groups. Here they give a similar characterization of the dual-standard subgroups of non-periodic locally soluble groups.
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    dual-standard subgroups
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    non-periodic locally soluble groups
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