Central extensions of word hyperbolic groups satisfy a quadratic isoperimetric inequality

DOI10.1007/BF01194161zbMath0854.20049OpenAlexW2056166432MaRDI QIDQ1924571

Gregory R. Conner

Publication date: 22 January 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194161

zbMATH Keywords

word hyperbolic groupsisoperimetric inequalitiescentral extensionsfinitely presented groupsfinitely generated nilpotent groupsnilpotent extensionslinear isodiametric inequalities

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Nilpotent groups (20F18) Extensions, wreath products, and other compositions of groups (20E22)

Related Items

Attainability of the minimal exponential growth rate for free products of finite cyclic groups.

Cites Work

• Central extensions of word hyperbolic groups
• Small cancellation theory and automatic groups
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• THE DOUBLE EXPONENTIAL THEOREM FOR ISODIAMETRIC AND ISOPERIMETRIC FUNCTIONS
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