Groups of prime power order and their nonabelian tensor squares.

DOI10.1007/s11856-009-0101-2zbMath1197.20013OpenAlexW2065752549MaRDI QIDQ2655771

Primož Moravec

Publication date: 26 January 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0101-2

zbMATH Keywords

finite \(p\)-groupsexponentsSchur multipliersnonabelian tensor squarespowerful \(p\)-groupsnonabelian tensor products

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

Advances on a construction related to the non-abelian tensor square of a group ⋮ 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 ⋮ The exponent of the non‐abelian tensor square and related constructions ofp‐groups ⋮ On the Schur multipliers of finite \(p\)-groups of given coclass. ⋮ The \(q\)-tensor square of a powerful \(p\)-group ⋮ Unnamed Item ⋮ AN IMPROVEMENT OF A BOUND OF GREEN

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• Some computations of non-Abelian tensor products of groups
• Van Kampen theorems for diagrams of spaces
• Tensor products of prime-power groups
• On the tensor square of a prime power group
• The exponents of nonabelian tensor products of groups.
• On the relation between upper central quotients and lower central series of a group
• On a construction related to the non-abelian tensor square of a group
• Some Inequalities for the Multiplicator of a Finite Group

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