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- Hirsch–Plotkin_radical abstract "In mathematics, especially in the study of infinite groups, the Hirsch–Plotkin radical is a subgroup describing the normal nilpotent subgroups of the group.The Hirsch–Plotkin radical is defined as the subgroup generated by the normal locally nilpotent subgroups (that is, those normal subgroups such that every finitely generated subgroup is nilpotent). The Hirsch–Plotkin radical is itself a locally nilpotent normal subgroup, so is the unique largest such. The Hirsch–Plotkin radical generalizes the Fitting subgroup to infinite groups. Unfortunately the subgroup generated by infinitely many normal nilpotent subgroups need not itself be nilpotent, so the Fitting subgroup must be modified in this case.".
- Hirsch–Plotkin_radical wikiPageID "22468906".
- Hirsch–Plotkin_radical wikiPageRevisionID "569589184".
- Hirsch–Plotkin_radical subject Category:Functional_subgroups.
- Hirsch–Plotkin_radical subject Category:Infinite_group_theory.
- Hirsch–Plotkin_radical comment "In mathematics, especially in the study of infinite groups, the Hirsch–Plotkin radical is a subgroup describing the normal nilpotent subgroups of the group.The Hirsch–Plotkin radical is defined as the subgroup generated by the normal locally nilpotent subgroups (that is, those normal subgroups such that every finitely generated subgroup is nilpotent). The Hirsch–Plotkin radical is itself a locally nilpotent normal subgroup, so is the unique largest such.".
- Hirsch–Plotkin_radical label "Hirsch–Plotkin radical".
- Hirsch–Plotkin_radical sameAs Hirsch%E2%80%93Plotkin_radical.
- Hirsch–Plotkin_radical sameAs Q16944859.
- Hirsch–Plotkin_radical sameAs Q16944859.
- Hirsch–Plotkin_radical wasDerivedFrom Hirsch–Plotkin_radical?oldid=569589184.