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Burnside problem

The Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by William Burnside in 1902, making it one of the oldest questions in group theory, and was influential in the development of combinatorial group theory. It is known to have a negative answer in general, as…

History, Brief history & Bounded Burnside problem

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Brief history

General Burnside problem

Bounded Burnside problem

Restricted Burnside problem

Bibliography

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Burnside problem

Nodes52
Edges51
Triples114
Avg. degree1.96
Density0.038462
Components1

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Burnside problem

Top relations

related to Bibliography · 65
Burnside problem → Adian, Algebra, American Mathematical Society, Applications, Around Burnside, Bakhturin, Berlin, Berlin-New York, Bibcode, Burnside, Computation, Dordrecht, Ergebnisse, Geometry, Grenzgebiete, Groups, Hyperbolic, IM1991v036n01ABEH001946, IM1996v060n03ABEH000077, Infinite Burnside
related to history · 20
Burnside problem → Adian, Burnside, Efim Zelmanov, For, Golod, In, Initial, Issai Schur, Jordan, Kostrikin, Later, Moreover, Nevertheless, Ol'shanskii, Pyotr Novikov, Schur, Sergei Adian, Shafarevich, This, Yu
related to Restricted Burnside problem · 14
Burnside problem → B0, Burnside, By, Every, Formulated, In, It, N/M, One, The, Therefore, Third Isomorphism Theorem, This, Thus
related to Bounded Burnside problem · 10
Burnside problem → Burnside, Consider, In, It, More, Part, The, The Burnside, Therefore, Thus
related to External links · 4
Burnside problem → Burnside, History, MacTutor History, Mathematics

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Important terminology

burnside group exponent problem groups finite odd finitely generated restricted bounded solution infinite periodic doi order generators exponents adian free

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the pinstance ofThere exist easily defined groups0.80text
Burnside problemrelated to BibliographyAdian0.60section
Burnside problemrelated to BibliographyThe Burnside0.60section
Burnside problemrelated to BibliographyTranslated0.60section
Burnside problemrelated to BibliographyRussian0.60section
Burnside problemrelated to BibliographyJohn Lennox0.60section
Burnside problemrelated to BibliographyJames Wiegold0.60section
Burnside problemrelated to BibliographyErgebnisse0.60section
Burnside problemrelated to BibliographyMathematik0.60section
Burnside problemrelated to BibliographyGrenzgebiete0.60section
Burnside problemrelated to BibliographyResults0.60section
Burnside problemrelated to BibliographyMathematics0.60section

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