Keyword

finitely generated groups

Description: These are algebraic groups whose elements can all be expressed using products of a finite set of generators and their inverses.

Primary topic: Geometric and Algebraic Topology (38%)

Wikidata ID: wiki/Q21083858

OpenAlex ID: keywords/finitely-generated-groups

Generators and Relations for Discrete Groups

1972 · H. S. M. Coxeter, W. O. J. Moser · Springer eBooks · 1,480

Analysis and Geometry on Groups

1993 · Nicholas T. Varopoulos, L. Saloff-Coste, et al. · Cambridge University Press eBooks · 871

Random Walks on Infinite Graphs and Groups

2000 · Wolfgang Woess · Cambridge University Press eBooks · 860

Sur les Groupes Hyperboliques d’après Mikhael Gromov

1990 · La Harpe, Pierre de, Ghys, Etienne · Progress in mathematics · 784

Computational Problems in Abstract Algebra

1970 · Elsevier eBooks · 634

Topics in geometric group theory

2001 · Choice Reviews Online · 595

A note on curvature and fundamental group

1968 · J. Milnor · Journal of Differential Geometry · 528

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Degrees of Growth of Finitely Generated Groups, and the Theory of Invariant Means

1985 · R I Grigorchuk · Mathematics of the USSR-Izvestiya · 477

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Homological Dimension of Discrete Groups

1976 · Robert Bieri · OpenGrey (Institut de l'Information Scientifique et Technique) · 408

Free Differential Calculus, IV. The Quotient Groups of the Lower Central Series

1958 · K. T. Chen, R. H. Fox, et al. · Annals of Mathematics · 359

Finiteness Conditions for Soluble Groups

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

Generators and Relations for Discrete Groups

1957 · H. S. M. Coxeter, W. O. J. Moser · Springer eBooks · 342

The Geometry of Finitely Generated Kleinian Groups

1974 · Albert Marden · Annals of Mathematics · 337

The Burnside Problem and Identities in Groups

1979 · Sergei I. Adian · Springer eBooks · 335

Some two-generator one-relator non-Hopfian groups

1962 · Gilbert Baumslag, Donald Solitar · Bulletin of the American Mathematical Society · 328

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A Certain Exact Sequence

1950 · J. H. C. Whitehead · Annals of Mathematics · 320

Tree-graded spaces and asymptotic cones of groups

2005 · Cornelia Druţu, Mark Sapir · Topology · 318

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The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

1972 · H. Bass · Proceedings of the London Mathematical Society · 292

The Novikov Conjecture for Groups with Finite Asymptotic Dimension

1998 · Guoliang Yu · Annals of Mathematics · 279

On the Burnside problem for periodic groups

1983 · Narain Gupta, Said Sidki · Mathematische Zeitschrift · 279

Growth of finitely generated solvable groups

1968 · John Milnor · Journal of Differential Geometry · 275

Varieties of representations of finitely generated groups

1985 · Alexander Lubotzky, Andy R. Magid · Memoirs of the American Mathematical Society · 268

Subgroups of finitely presented groups

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

Finitely Generated Kleinian Groups

1964 · Lars V. Ahlfors · American Journal of Mathematics · 249

Groups, the Theory of ends, and context-free languages

1983 · David E. Muller, Paul E. Schupp · Journal of Computer and System Sciences · 248

Works count: 4,322

Citation count: 45,740