23 lines
3.0 KiB
Markdown
23 lines
3.0 KiB
Markdown
---
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title: "Burnside problem"
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chunk: 3/3
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source: "https://en.wikipedia.org/wiki/Burnside_problem"
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category: "reference"
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tags: "science, encyclopedia"
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date_saved: "2026-05-05T11:02:52.202280+00:00"
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instance: "kb-cron"
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---
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== Bibliography ==
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S. I. Adian (1979) The Burnside problem and identities in groups. Translated from the Russian by John Lennox and James Wiegold. Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], 95. Springer-Verlag, Berlin-New York. ISBN 3-540-08728-1.
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S. I. Adian (2015). "New estimates of odd exponents of infinite Burnside groups". Trudy Matematicheskogo Instituta imeni V. A. Steklova (in Russian). 289: 41–82. doi:10.1134/S0371968515020041. Translation in Adian, S. I. (2015). "New estimates of odd exponents of infinite Burnside groups". Proceedings of the Steklov Institute of Mathematics. 289 (1): 33–71. doi:10.1134/S0081543815040045.
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S. V. Ivanov (1994). "The Free Burnside Groups of Sufficiently Large Exponents". International Journal of Algebra and Computation. 04: 1–308. doi:10.1142/S0218196794000026.
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S. V. Ivanov; A. Yu. Ol'Shanskii (1996). "Hyperbolic groups and their quotients of bounded exponents". Transactions of the American Mathematical Society. 348 (6): 2091–2138. doi:10.1090/S0002-9947-96-01510-3.
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A. I. Kostrikin (1990) Around Burnside. Translated from the Russian and with a preface by James Wiegold. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 20. Springer-Verlag, Berlin. ISBN 3-540-50602-0.
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I. G. Lysënok (1996). "Infinite Burnside groups of even exponent". Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya (in Russian). 60 (3): 3–224. doi:10.4213/im77. Translation in Lysënok, I. G. (1996). "Infinite Burnside groups of even exponent". Izvestiya: Mathematics. 60 (3): 453–654. Bibcode:1996IzMat..60..453L. doi:10.1070/IM1996v060n03ABEH000077. S2CID 250838960.
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A. Yu. Ol'shanskii (1989) Geometry of defining relations in groups. Translated from the 1989 Russian original by Yu. A. Bakhturin (1991) Mathematics and its Applications (Soviet Series), 70. Dordrecht: Kluwer Academic Publishers Group. ISBN 0-7923-1394-1.
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E. Zelmanov (1990). "Solution of the restricted Burnside problem for groups of odd exponent". Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya (in Russian). 54 (1): 42–59, 221. Translation in Zel'manov, E I (1991). "Solution of the Restricted Burnside Problem for Groups of Odd Exponent". Mathematics of the USSR-Izvestiya. 36 (1): 41–60. Bibcode:1991IzMat..36...41Z. doi:10.1070/IM1991v036n01ABEH001946. S2CID 39623037.
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E. Zelmanov (1991). "Solution of the restricted Burnside problem for 2-groups". Matematicheskii Sbornik (in Russian). 182 (4): 568–592. Translation in Zel'manov, E I (1992). "A Solution of the Restricted Burnside Problem for 2-groups". Mathematics of the USSR-Sbornik. 72 (2): 543–565. Bibcode:1992SbMat..72..543Z. doi:10.1070/SM1992v072n02ABEH001272.
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== External links ==
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History of the Burnside problem at MacTutor History of Mathematics archive |