Non-abelian tensor square and related constructions of \(p\)-groups
From MaRDI portal
Publication:2173308
DOI10.1007/s00013-020-01449-0zbMath1455.20018arXiv1906.07830OpenAlexW3012480482MaRDI QIDQ2173308
Publication date: 22 April 2020
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.07830
Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite nilpotent groups, (p)-groups (20D15)
Related Items
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 ⋮ On weak commutativity in \(p\)-groups ⋮ The exponent of the non‐abelian tensor square and related constructions ofp‐groups ⋮ On the exponent of the weak commutativity group \(\chi (G)\)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak commutativity between two isomorphic polycyclic groups.
- Some computations of non-Abelian tensor products of groups
- Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
- Omega subgroups of pro-\(p\) groups.
- Computing the nonabelian tensor squares of polycyclic groups.
- Diagonal embeddings of nilpotent groups
- Van Kampen theorems for diagrams of spaces
- On weak permutability between groups
- On weak commutativity between finite p-groups, p odd
- On the structure of normal subgroups of potent \(p\)-groups.
- Groups of prime power order and their nonabelian tensor squares.
- On the q-tensor square of a group
- Some structural results on the non-abelian tensor square of groups
- A presentation for a crossed embedding of finite solvable groups
- On a construction related to the non-abelian tensor square of a group
- The Second Homology Group of a Group; Relations among Commutators
