Some structural results on the non-abelian tensor square of groups

DOI10.1515/JGT.2009.032zbMath1206.20033arXiv0810.4620MaRDI QIDQ3406634

Russell D. Blyth, Francesco Fumagalli, Marta Morigi

Publication date: 19 February 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4620

zbMATH Keywords

finite \(p\)-groupsSchur multipliersnon-Abelian tensor squares

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) Derived series, central series, and generalizations for groups (20F14)

Related Items (16)

The non-abelian tensor square of p-groups of order p4 ⋮ Characterization of Finitep-Groups by Their Non-Abelian Tensor Square ⋮ Non-abelian tensor square and related constructions of \(p\)-groups ⋮ On some series of a group related to the non-abelian tensor square of groups ⋮ Some generalisations of Schur's and Baer's theorem and their connection with homological algebra ⋮ The second stable homotopy group of the Eilenberg-Maclane space ⋮ The exponent of the non‐abelian tensor square and related constructions ofp‐groups ⋮ The q-tensor square of finitely generated nilpotent groups, q odd ⋮ On the nonabelian tensor square and capability of groups of order \(p^2q\). ⋮ On the capability of finitep-groups with derived subgroup of orderp ⋮ On the capability of Leibniz algebras ⋮ Finiteness conditions for the non-abelian tensor product of groups ⋮ The Schur multiplier of groups of order \(p^5\) ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0 ⋮ On the q-tensor square of a group ⋮ On the non-abelian tensor square of all groups of order dividing p5

Cites Work

• Some computations of non-Abelian tensor products of groups
• Computing the nonabelian tensor squares of polycyclic groups.
• Tensor products of prime-power groups
• A certain exact sequence
• On the capability of groups
• A presentation for a crossed embedding of finite solvable groups
• The Second Homology Group of a Group; Relations among Commutators

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