AN APPROACH TO CAPABLE GROUPS AND SCHUR’S THEOREM

DOI10.1017/S0004972715000313zbMath1331.20041MaRDI QIDQ5501748

Rasoul Hatamian, Mitra Hassanzadeh

Publication date: 14 August 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupsSchur theoremHall theoremcapable groupsderived subgroupgroups of bounded rank

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• On finite groups whose derived subgroup has bounded rank.
• On the structure of \(n\)-isoclinism classes of groups
• On the nilpotent multipliers of a group
• Endlichkeitskriterien für Kommutatorgruppen
• Generalizing a theorem of P. Hall on finite-by-nilpotent groups
• Bounds for the index of the centre in capable groups
• Some Explicit Bounds in Groups with Finite Derived Groups

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