ON THE CAPABILITY OF FINITELY GENERATED NON-TORSION GROUPS OF NILPOTENCY CLASS 2

DOI10.1017/S001708951100019XzbMath1229.20027OpenAlexW2021415661MaRDI QIDQ3000418

Nor Muhainiah Mohd Ali, Luise-Charlotte Kappe, Nor Haniza Sarmin

Publication date: 18 May 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001708951100019x

zbMATH Keywords

nilpotent groupscapable groups2-generator groupsepicentreexterior centregroups of nilpotency class 2

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15)

Related Items

An upper bound for the index of the center in capable groups with finite cyclic derived subgroups, Representations of some groups and Galois stability.

Cites Work

• Some computations of non-Abelian tensor products of groups
• On groups occurring as center factor groups
• The nonabelian tensor square of a \(2\)-generator \(p\)-group of class \(2\)
• Two-generator two-groups of class two and their nonabelian tensor squares
• On the capability of groups
• Infinite metacyclic groups and their non-abelian tensor squares
• Tensor Products and q -Crossed Modules
• Capability of nilpotent products of cyclic groups
• Capable 2-Generator 2-Groups of Class Two
• The classification of prime-power groups.