On the converse of a theorem of Schur.

DOI10.1007/s00013-013-0530-3zbMath1277.20028OpenAlexW1994412199MaRDI QIDQ359609

Hemant Kalra, Deepak Kumar Gumber

Publication date: 12 August 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0530-3

zbMATH Keywords

finite groupscenterSchur theoremcentral factorcommutator subgroupderived subgroupgeneralized converse theorem

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Non-abelian tensor square of finite-by-nilpotent groups ⋮ Central Quotient Versus Commutator Subgroup of Groups

Cites Work

• A generalization of a converse to Schur's theorem.
• On a special class of \(p\)-groups
• The converse of Schur's theorem
• On central automorphisms that fix the centre elementwise.
• Groups with finitely many automorphisms
• Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)

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