Non-combability of Hilbert modular groups

DOI10.4310/CAG.1995.v3.n2.a1zbMath0887.20014OpenAlexW2742086467MaRDI QIDQ1909685

Toshiaki Hattori

Publication date: 19 March 1998

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.1995.v3.n2.a1

zbMATH Keywords

isoperimetric inequalitiestotally real algebraic number fieldsword problemsHilbert modular groupsfinitely presented infinite groupsnon-combable groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Linear algebraic groups over global fields and their integers (20G30) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (3)

Finiteness properties of arithmetic groups over function fields. ⋮ Isoperimetric inequalities for lattices in semisimple Lie groups of rank 2 ⋮ Exponential higher dimensional isoperimetric inequalities for some arithmetic groups.

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