3.0 KiB
| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Burnside problem | 3/3 | https://en.wikipedia.org/wiki/Burnside_problem | reference | science, encyclopedia | 2026-05-05T11:02:52.202280+00:00 | kb-cron |
== Bibliography == 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. 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. 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. 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. 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. 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. 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. 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. 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.
== External links == History of the Burnside problem at MacTutor History of Mathematics archive