Combinatorial group theory
In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in a natural and geometric way such a presentation.A very closely related topic is geometric group theory, which today largely subsumes combinatorial group theory, using techniques from outside combinatorics besides. It also comprises a number of algorithmically insoluble problems, most notably the word problem for groups; and the classical Burnside problem.
Aleksandr OlshanskyBaumslag–Solitar groupBrigitte ServatiusCayley graphCentral seriesCombinatoricsCyclically reduced wordDonald SolitarGeneric-case complexityGeometric group theoryGlossary of areas of mathematicsGolod–Shafarevich theoremGroup theoryGéraud SénizerguesHNN extensionHarald HelfgottHistory of group theoryHoward MasurHyperbolic groupHyperbolic metric spaceIcosian calculusJacqueline Jensen-VallinJohn Britton (mathematician)John Leech (mathematician)John R. StallingsKurt ReidemeisterList of Brooklyn College alumniList of Vanderbilt University peopleMarston ConderMartin KassabovMax DehnMichael J. LarsenMorgan PrizeNielsen transformationNormal form for free groups and free product of groupsOtto SchreierPresentation of a groupRoger LyndonSchreier coset graphSchur multiplier
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Combinatorial group theory
In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in a natural and geometric way such a presentation.A very closely related topic is geometric group theory, which today largely subsumes combinatorial group theory, using techniques from outside combinatorics besides. It also comprises a number of algorithmically insoluble problems, most notably the word problem for groups; and the classical Burnside problem.
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Em matemática, a teoria combin ...... avra para grupos e o clássico.
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En mathématiques, la théorie c ...... lassique problème de Burnside.
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In mathematics, combinatorial ...... he classical Burnside problem.
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Em matemática, a teoria combin ...... ternas à análise combinatória.
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En mathématiques, la théorie c ...... extérieures à la combinatoire.
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In mathematics, combinatorial ...... he classical Burnside problem.
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Combinatorial group theory
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Teoria combinatória de grupos
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Théorie combinatoire des groupes
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