Keyword

finitely presented groups

Description: Groups that can be specified by a finite set of generators and a finite set of defining relations, studied in abstract algebra and group theory.

Primary topic: Geometric and Algebraic Topology (61%)

Wikidata ID: wiki/Q124579556

OpenAlex ID: keywords/finitely-presented-groups

Topics in geometric group theory

2001 · Choice Reviews Online · 595

Morse theory and finiteness properties of groups

1997 · Mladen Bestvina, Noel Brady · Inventiones mathematicae · 420

Computation with Finitely Presented Groups

1994 · Charles C. Sims · Cambridge University Press eBooks · 388

Cyclic cohomology, the Novikov conjecture and hyperbolic groups

1990 · Alain Connes, Henri Moscovici · Topology · 357

Finiteness Conditions for Soluble Groups

1954 · P. Hall · Proceedings of the London Mathematical Society · 345

Conway's Tiling Groups

1990 · William P. Thurston · American Mathematical Monthly · 317

The accessibility of finitely presented groups

1985 · M. J. Dunwoody · Inventiones mathematicae · 297

Subgroups of finitely presented groups

1961 · Graham Higman · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 268

Twisted Alexander polynomial for finitely presentable groups

1994 · Masaaki Wada · Topology · 202

Subgroups of Finitely Presented Groups

1977 · George S. Sacerdote · Proceedings of the London Mathematical Society · 200

An infinite-dimensional torsion-freeFP ? group

1984 · Kenneth S. Brown, Ross Geoghegan · Inventiones mathematicae · 198

The geometry and topology of 3-Sasakian manifolds.

1994 · B. Mann, K. Galicki, et al. · Journal für die reine und angewandte Mathematik (Crelles Journal) · 153

Valuations and Finitely Presented Metabelian Groups

1980 · Robert Bieri, Ralph Strebel · Proceedings of the London Mathematical Society · 153

Cubulating small cancellation groups

2004 · Daniel T. Wise · Geometric and Functional Analysis · 150

Irreducible Affine Varieties over a Free Group

1998 · O Kharlampovich, A Myasnikov · Journal of Algebra · 149

Determination of all Regular Maps of Small Genus

2001 · Marston Conder, Peter Dobcsányi · Journal of Combinatorial Theory Series B · 147

A Finitely Presented Group Whose 3-Dimensional Integral Homology is not Finitely Generated

1963 · John Stallings · American Journal of Mathematics · 146

Finitely presented infinite simple groups

1974 · Graham Higman · Medical Entomology and Zoology · 143

Metric Geometry of Locally Compact Groups

2016 · Yves Cornulier, Pierre de la Harpe · EMS tracts in mathematics · 142

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Computational Group Theory

2007 · Gerhard Hiß, Derek F. Holt, et al. · Oberwolfach Reports · 138

Amenability via random walks

2005 · Laurent Bartholdi, Bálint Virág · Duke Mathematical Journal · 132

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Twisted Alexander polynomial and Reidemeister torsion

1996 · Teruaki Kitano · Pacific Journal of Mathematics · 124

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Tsirelson’s problem and an embedding theorem for groups arising from non-local games

2019 · William Slofstra · Journal of the American Mathematical Society · 122

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Almost finitely presented soluble groups

1978 · Robert Bieri, Ralph Strebel · Commentarii Mathematici Helvetici · 121

Finitely Generated 3-Manifold Groups are Finitely Presented

1973 · G. P. Scott · Journal of the London Mathematical Society · 118

Works count: 1,934

Citation count: 19,060