The non-abelian tensor product of polycyclic groups is polycyclic

DOI10.1515/JGT.2007.057zbMath1151.20029MaRDI QIDQ5431953

Primož Moravec

Publication date: 2 January 2008

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

zbMATH Keywords

tensor productsgenerating setspolycyclic groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (9)

Unnamed Item ⋮ Some generalisations of Schur's and Baer's theorem and their connection with homological algebra ⋮ On the structure of groups whose exterior or tensor square is a \(p\)-group. ⋮ Finiteness conditions for the box-tensor product of groups and related constructions ⋮ The exponents of nonabelian tensor products of groups. ⋮ On some closure properties of the non-abelian tensor product ⋮ Schur's theorem and its relation to the closure properties of the non-abelian tensor product ⋮ Unnamed Item ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0

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
• Computable algebra and group embeddings
• A certain exact sequence
• Non-abelian tensor products of solvable groups

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