Central Quotient Versus Commutator Subgroup of Groups

DOI10.1007/978-981-10-1651-6_10zbMath1367.20030arXiv1011.2083OpenAlexW2293882952MaRDI QIDQ2963642

Manoj K. Yadav

Publication date: 15 February 2017

Published in: Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2083

zbMATH Keywords

Schur's theoremcommutator subgroupclass-preserving automorphism

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Uses Software

• Magma

Cites Work

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• On finite \(p\)-groups with cyclic commutator subgroup
• The Magma algebra system. I: The user language
• On a theorem of Schur.
• Bounds in groups with trivial Frattini subgroup.
• Derived subgroups and centers of capable groups
• Bounds for the index of the centre in capable groups
• On certain abelian-by-nilpotent varieties
• Some Explicit Bounds in Groups with Finite Derived Groups
• Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)
• Groups Covered By Permutable Subsets

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