Characterization of Finitep-Groups by Their Non-Abelian Tensor Square

DOI10.1080/00927872.2011.645178zbMath1276.19002OpenAlexW1993433523MaRDI QIDQ5326271

E. Khamseh, S. Hadi Jafari, Farshid Saeedi

Publication date: 5 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.645178

zbMATH Keywords

Schur multiplierp-groupsnon-abelian tensor squareGAP database of small groups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Central extensions and Schur multipliers (19C09)

Related Items (9)

The capability and certain functors of some nilpotent lie algebras of class two ⋮ On the triple tensor products of groups of order p⁴ ⋮ A tensor product approach to compute 2-nilpotent multiplier of p-groups ⋮ On the triple tensor product of prime-power groups ⋮ On the capability of finitep-groups with derived subgroup of orderp ⋮ Computing the nonabelian tensor squares of groups of order \(p^3q\) ⋮ \(c\)-nilpotent multiplier of finite \(p\)-groups ⋮ On the third tensor power of a nilpotent group of class two ⋮ The Schur multiplier of groups of order \(p^5\)

Uses Software

• GAP

Cites Work

• Some computations of non-Abelian tensor products of groups
• The non-Abelian tensor product of finite groups is finite
• Van Kampen theorems for diagrams of spaces
• On non-Abelian tensor squares of linear groups
• On the order of the commutator subgroup and the Schur multiplier of a finite \(p\)-group
• Tensor products of prime-power groups
• Almost all generalized extraspecial \(p\)-groups are resistant
• The nonabelian tensor square of a \(2\)-generator \(p\)-group of class \(2\)
• A certain exact sequence
• On the number of automorphisms of a finite group
• Some structural results on the non-abelian tensor square of groups
• Projective Character Degree Patterns of Groups of Orderp⁴
• A Remark on the Schur Multiplier ofp-Groups
• The nonabelian tensor square of a finite split metacyclic group
• Two-generator two-groups of class two and their nonabelian tensor squares
• On the schur multiplier ofp-groups
• On the order of schur multipliers of finitep- groups
• A presentation for a crossed embedding of finite solvable groups
• A bound on the Schur multiplier of a prime-power group
• On a construction related to the non-abelian tensor square of a group

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