INTERSECTION OF SUBGROUPS IN FREE GROUPS AND HOMOTOPY GROUPS

DOI10.1142/S0218196708004652zbMath1172.55002arXiv0804.1999OpenAlexW2963559622MaRDI QIDQ3528852

Roman Mikhailov, Hans-Joachim Baues

Publication date: 17 October 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1999

zbMATH Keywords

asphericitygroup homologyhomotopy groups

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05)

Related Items (1)

A colimit of classifying spaces

Cites Work

• Free simplicial groups and the second relative homotopy group of an adjunction space
• Lower central series, augmentation quotients and homology of groups
• On the quotient of a free group by the commutator of two normal subgroups
• Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups
• \(N\)-fold Čech derived functors and generalised Hopf type formulas
• The mod-\(p\) lower central series and the Adams spectral sequence
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Hopf Formulae for the Higher Homology of a Group
• ON THE SECOND HOMOTOPY GROUP
• A Mayer-Vietoris sequence in group homology and the decomposition of relation modules
• Simplicial homotopy theory

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