Weak commutativity between two isomorphic polycyclic groups.

DOI10.1515/JGTH-2015-0041zbMath1339.20028arXiv1409.5511OpenAlexW2963025586MaRDI QIDQ254320

Ricardo N. Oliveira, Bruno César R. Lima

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1409.5511

zbMATH Keywords

polycyclic-by-finite groupsfinitely generated groupsnon-abelian tensor squaresweak commutativity

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22)

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A generalization of weak commutativity between two isomorphic groups ⋮ Non-abelian tensor square of finite-by-nilpotent groups ⋮ On weak commutativity in groups ⋮ Weak commutativity for pro-\(p\) groups ⋮ Non-abelian tensor square and related constructions of \(p\)-groups ⋮ The weak commutativity construction for Lie algebras ⋮ On weak commutativity in \(p\)-groups ⋮ Weak commutativity, virtually nilpotent groups, and Dehn functions ⋮ Unnamed Item ⋮ Weak commutativity and nilpotency ⋮ On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction \(\mathfrak{X}(G)\) ⋮ Homological and homotopical finiteness properties of the group \(\mathcal {E}(G)\) ⋮ On the exponent of the weak commutativity group \(\chi (G)\) ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0

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