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Keyword

free groups

Description: Groups generated by a set of elements with no relations other than those required by the group axioms, studied in algebra.
Wikidata ID: wiki/Q431078
OpenAlex ID: keywords/free-groups
Combinatorial Group Theory
1990 · Fine, Benjamin, Gaglione, Anthony, et al. · Contemporary mathematics - American Mathematical Society · 2,621
Combinatorial Group Theory.
1967 · P. M. Cohn, Wilhelm Magnus, et al. · American Mathematical Monthly · 1,231
Combinatorial Group Theory
2001 · Roger C. Lyndon, Paul E. Schupp · Classics in mathematics · 1,017
Free subgroups in linear groups
1972 · J Tits · Journal of Algebra · 849
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Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
1966 · Wilhelm Magnus, A. Karrass, et al. · Medical Entomology and Zoology · 804
Free Lie Algebras
1993 · Christophe Reutenauer · 773
A First Course in Abstract Algebra.
1969 · K. P. Bogart, George Gratzer, et al. · American Mathematical Monthly · 711
Introduction to Knot Theory.
1964 · H. F. Trotter, R. H. Crowell, et al. · American Mathematical Monthly · 686
Combinatorial group theory
1967 · M.F. Newman · Journal of the Franklin Institute · 623
Moduli of graphs and automorphisms of free groups
1986 · Marc Culler, Karen Vogtmann · Inventiones mathematicae · 536
Fundamentals of the Theory of Groups
1979 · M. I. Kargapolov, Ju. I. Merzljakov · Graduate texts in mathematics · 532
Addition of certain non-commuting random variables
1986 · Dan Voiculescu · Journal of Functional Analysis · 509
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Principles of Advanced Mathematical Physics
1981 · Robert D. Richtmyer · Springer eBooks · 377
Adjoint functors and triples
1965 · Samuel Eilenberg, John C. Moore · Illinois Journal of Mathematics · 375
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The equation $a^M=b^Nc^P$ in a free group.
1962 · R. C. Lyndon, M. P. Schützenberger · The Michigan Mathematical Journal · 347
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Groups and Symmetry
1988 · M. A. Armstrong · Undergraduate texts in mathematics · 297
Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
1985 · Jean de Canniere, Uffe Haagerup · American Journal of Mathematics · 287
Diophantine geometry over groups I : Makanin-Razborov diagrams
2001 · Zlil Sela · Publications mathématiques de l IHÉS · 273
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Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden
1917 · J. Nielsen · Mathematische Annalen · 269
Die Untergruppen der freien Gruppen
1927 · Otto Schreier · Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg · 268
On nuclear C∗-algebras
1973 · Christopher Lance · Journal of Functional Analysis · 261
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Die Isomorphismengruppe der freien Gruppen
1924 · Jakob Nielsen · Mathematische Annalen · 234
On a class of II1factors with at most one Cartan subalgebra
2010 · Narutaka Ozawa, Sorin Popa · Annals of Mathematics · 233
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On Equivalent Sets of Elements in a Free Group
1936 · J. H. C. Whitehead · Annals of Mathematics · 233
Coset Representations in Free Groups
1949 · Marshall Hall · Transactions of the American Mathematical Society · 231
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Works count: 5,598
Citation count: 60,630
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