Discreteness properties of translation numbers in solvable groups

DOI10.1515/jgth.2000.007zbMath0956.20039OpenAlexW2036321831MaRDI QIDQ4936384

Gregory R. Conner

Publication date: 6 December 2000

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2000.007

zbMATH Keywords

polycyclic groupssolvable groupsleft-invariant metricsmetabelian-by-finite groupstranslation numbersvirtual cohomological dimensionstranslation discrete groupstranslation proper groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Geometric group theory (20F65) Topological methods in group theory (57M07)

Related Items (13)

Median sets of isometries in \(\mathrm{CAT}(0)\) cube complexes and some applications ⋮ Garside groups are strongly translation discrete. ⋮ Solvable Subgroup Theorem for simplicial nonpositive curvature ⋮ Translation lengths of outer automorphisms of finitely generated free-by-finite groups ⋮ Counting conjugacy classes in groups with contracting elements ⋮ The rate of escape for random walks on polycyclic and metabelian groups ⋮ Aspects of non positive curvature for linear groups with no infinite order unipotents ⋮ Braid groups of imprimitive complex reflection groups. ⋮ Translation numbers in a Garside group are rational with uniformly bounded denominators. ⋮ Residual finiteness and strict distortion of cyclic subgroups of solvable groups ⋮ Metric systolicity and two-dimensional Artin groups ⋮ Non-positively curved aspects of Artin groups of finite type ⋮ Exponential radicals of solvable Lie groups

Cites Work

• Manifolds of nonpositive curvature
• Rational subgroups of biautomatic groups
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