Higher generation by subgroups

DOI10.1006/jabr.1993.1190zbMath0811.20036OpenAlexW2012985990MaRDI QIDQ5906504

Herbert Abels, Stephan Holz

Publication date: 8 November 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1190

zbMATH Keywords

relationsidentitiesfiniteness propertiesTits systemscosetsbuildingshomotopy colimitsamalgamated product\(BN\)-pair\(FP_ n\)-properties\(n\)- generatedness\(n\)-generatinggroups acting on simplicial complexesidentifies for presentationsnerve of coveringstandard parabolic subgroupsvirtual cohomological dimensions of graph products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Group actions on manifolds and cell complexes in low dimensions (57M60) Groups with a (BN)-pair; buildings (20E42)

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