Capable 2-Generator 2-Groups of Class Two

DOI10.1080/00927870600549717zbMath1108.20015arXivmath/0404499OpenAlexW2101662810MaRDI QIDQ5481652

Arturo Magidin

Publication date: 10 August 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404499

zbMATH Keywords

relationsgeneratorsfinite nilpotent groupsfinite 2-groupscapable groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

Counting Centralizers of a Finite Group with an Application in Constructing the Commuting Conjugacy Class Graph ⋮ On the autocentralizer subgroups of finite –groups ⋮ 2-capability of 2-generator 2-groups of class two ⋮ On the nonabelian tensor square and capability of groups of order \(p^2q\). ⋮ ON THE CAPABILITY OF FINITELY GENERATED NON-TORSION GROUPS OF NILPOTENCY CLASS 2 ⋮ The order classes of 2-generator \(p\)-groups

Cites Work

• Group extensions, representations, and the Schur multiplicator
• On groups occurring as center factor groups
• Derived subgroups and centers of capable groups
• On Nilpotent Products of Cyclic Groups
• On Nilpotent Products of Cyclic Groups. II
• Two-generator two-groups of class two and their nonabelian tensor squares
• On the capability of groups
• Class two nilpotent capable groups
• Capability of nilpotent products of cyclic groups
• The classification of prime-power groups.

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