On the tensor square of a prime power group

DOI10.1007/BF01268865zbMath0854.20023OpenAlexW2018539105MaRDI QIDQ1924932

Graham J. Ellis

Publication date: 27 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01268865

zbMATH Keywords

exponentfinite group of prime power orderorder of tensor square

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)

Groups of prime power order and their nonabelian tensor squares. ⋮ Advances on a construction related to the non-abelian tensor square of a group ⋮ 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 ⋮ Some Properties of Certain Subgroups of Tensor Squares ofp-Groups ⋮ On the exponent of the weak commutativity group \(\chi (G)\) ⋮ On the Non-abelian Tensor Product of Groups ⋮ Tensor products of prime-power groups

Cites Work

• Some computations of non-Abelian tensor products of groups
• The nonabelian tensor square of a \(2\)-generator \(p\)-group of class \(2\)
• The exponent and the projective representations of a finite group
• On a construction related to the non-abelian tensor square of a group
• Some Inequalities for the Multiplicator of a Finite Group. II

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