Division in group rings of surface groups

DOI10.1112/jlms.12590zbMath1521.20092arXiv2101.00682OpenAlexW3120664276MaRDI QIDQ6134499

Grigori Avramidi

Publication date: 22 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00682

zbMATH Keywords

cohomological dimensiongenusgroup ringdivision algorithmfundamental group of a surface

Mathematics Subject Classification ID

Group rings (16S34) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Discontinuous groups of transformations (57S30) Other classes of modules and ideals in associative algebras (16D80)

Cites Work

• Riemannsche Flächen mit großer Kragenweite
• On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
• Projective modules over free groups are free
• On torsion-free groups with infinitely many ends
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The Homotopy Type of a Two-Dimensional Complex
• Sur l'anneau d'un groupe hyperbolique
• Left and right inverses in group algebras
• On Two-Dimensional Aspherical Complexes
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