Finiteness of homotopy groups related to the non-abelian tensor product
DOI10.1007/s10231-019-00855-8zbMath1485.55015arXiv1812.07559OpenAlexW3103965339WikidataQ128007404 ScholiaQ128007404MaRDI QIDQ2009077
Ewerton R. Vieira, Raimundo A. Bastos, Norai Romeu Rocco
Publication date: 27 November 2019
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.07559
finiteness conditionsEilenberg-MacLane spaceshomotopy groupshomotopy pushoutnon-abelian tensor product of groups
General structure theorems for groups (20E34) Homotopy groups, general; sets of homotopy classes (55Q05) Cohomology of groups (20J06) Eilenberg-Mac Lane spaces (55P20)
Related Items (3)
Cites Work
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- On the structure of groups whose exterior or tensor square is a \(p\)-group.
- The non-abelian tensor square of residually finite groups
- Some computations of non-Abelian tensor products of groups
- The non-Abelian tensor product of finite groups is finite
- Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
- On some closure properties of the non-abelian tensor product
- Van Kampen theorems for diagrams of spaces
- Tensor products of prime-power groups
- The second stable homotopy group of the Eilenberg-Maclane space
- Non-abelian tensor product of residually finite groups
- Finiteness conditions for the non-abelian tensor product of groups
- The exponents of nonabelian tensor products of groups.
- A certain exact sequence
- Homotopical Excision, and Hurewicz Theorems, for n -Cubes of Spaces
- A presentation for a crossed embedding of finite solvable groups
- Infinite metacyclic groups and their non-abelian tensor squares
- Non-abelian tensor products of solvable groups
- On the size of the third homotopy group of the suspension of an Eilenberg--MacLane space
- On a construction related to the non-abelian tensor square of a group
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