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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 (2000):
Primary 20F50;
Secondary 20E05, 20F05
MathSciNet review:
1149874
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Additional information
Abstract:
It is proved that the free m-generated Burnside groups of exponent n are infinite provided that , .
References:
-
- [1]
- S. I. Adian, The Burnside problems and identities in groups, Moscow, Nauka, 1975. MR 0432770 (55:5753)
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- [8]
- P. S. Novikov, On periodic groups, Dokl. Akad. Nauk SSSR Ser. Mat. 27 (1959), 749-752. MR 0106950 (21:5680)
- [9]
- P. S. Novikov and S. I. Adian, On infinite periodic groups I, II, III, Izv. Akad. Nauk SSSR. Ser. Mat. 32 (1968), 212-244; 251-524; 709-731. MR 0240178 (39:1532a)
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- -, Geometry of defining relations in groups, Moscow, Nauka, 1989. MR 1024791 (91i:20035)
- [12]
- I. N. Sanov, Solution of the Burnside problem for exponent 4, Uchen. Zap. Leningrad State Univ. Ser. Mat. 10 (1940), 166-170. MR 0003397 (2:212c)
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00305-1
PII:
S 0273-0979(1992)00305-1
Copyright of article:
Copyright
1992,
American Mathematical Society
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