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On the Burnside problem on periodic groups
Author(s):
Sergei
V.
Ivanov
Journal:
Bull. Amer. Math. Soc.
27
(1992),
257-260.
MSC (1991):
Primary 20F05, 20F06, 20F32, 20F50
MathSciNet review:
1149874
Retrieve article in:
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References |
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Additional information
References:
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- S. I. Adian, The Burnside problems and identities in groups, Moscow, Nauka, 1975. MR 432770
- [2]
- W. Burnside, On unsettled question in the theory of discontinuous groups, Quart. J. Pure Appl. Math. \textbf{33} (1902), 230--238. MR
- [3]
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- [4]
- M. Hall, Solution of the Burnside problem for exponent \RM 6, Proc. Nat. Acad. Sci. U.S.A. \textbf{43} (1957), 751--753. MR 89847
- [5]
- S. V. Ivanov, Free Burnside groups of some even exponents, 1987 \rm (unpublished). MR
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- S. V. Ivanov and A. Yu. Ol\cprime shanski\u \i, Some applications of graded diagrams in combinatorial group theory, London Math. Soc. Lecture Note Ser., vol. 160 (1991), Cambridge Univ. Press, Cambridge and New York, 1991, 258--308. MR 1123985
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- R. C. Lyndon and P. C. Schupp, Combinatorial group theory, Springer-Verlag, Heidelberg, 1977. MR 577064
- [8]
- P. S. Novikov, On periodic groups, Dokl. Akad. Nauk SSSR Ser. Mat. \textbf{27} (1959), 749--752. MR 106950
- [9]
- P. S. Novikov and S. I. Adian, On infinite periodic groups \rm I, II, III, Izv. Akad. Nauk SSSR. Ser. Mat. \textbf{32} (1968), 212--244; 251--524; 709--731. MR 240178
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- A. Yu. Ol\cprime shanski\u \i, On the Novikov-Adian theorem, Mat. Sb. \textbf{118} (1982), 203--235. MR 658789
- [11]
- A. Yu. Ol\cprime shanski\u \i, Geometry of defining relations in groups, Moscow, Nauka, 1989. MR 1024791
- [12]
- I. N. Sanov, Solution of the Burnside problem for exponent \rm 4, Uchen. Zap. Leningrad State Univ. Ser. Mat. \textbf{10} (1940), 166--170. MR 3397
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00305-1
PII:
S 0273-0979(1992)00305-1
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