Extension of a Schur theorem to groups with a central factor with a bounded section rank.
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Publication:2438378
DOI10.1016/j.jalgebra.2013.06.035zbMath1294.20045OpenAlexW2022233947MaRDI QIDQ2438378
Adolfo Ballester-Bolinches, Javier Otal, Sergio Camp-Mora, Leonid A. Kurdachenko
Publication date: 11 March 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.06.035
Schur multipliersderived subgroupgeneralized radical groupsSchur classes\(p\)-section ranks of groups0-ranks of groupsspecial ranks of groups
Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Powerful \(p\)-groups. I: Finite groups.
- The Schur property and groups with uniform conjugacy classes
- Multiplicators and groups with finite central factor-groups
- Endlichkeitskriterien für Kommutatorgruppen
- The ranks of central factor and commutator groups
- Endliche Gruppen I