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Izv. Akad. Nauk SSSR Ser. Mat., 1968, Volume 32, Issue 2, Pages 251–524 (Mi izv2475)  

This article is cited in 55 scientific papers (total in 57 papers)

Infinite periodic groups. II

P. S. Novikov, S. I. Adian

Abstract: In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.

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English version:
Mathematics of the USSR-Izvestiya, 1968, 2:2, 241–479

Bibliographic databases:

Document Type: Article
UDC: 519.4
MSC: 20F50, 20F05, 20F10, 20Cxx
Received: 23.10.1967

Citation: P. S. Novikov, S. I. Adian, “Infinite periodic groups. II”, Izv. Akad. Nauk SSSR Ser. Mat., 32:2 (1968), 251–524; Math. USSR-Izv., 2:2 (1968), 241–479

Citation in format AMSBIB
\by P.~S.~Novikov, S.~I.~Adian
\paper Infinite periodic groups.~II
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 2
\pages 251--524
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 2
\pages 241--479

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    This publication is cited in the following articles:
    1. P. S. Novikov, S. I. Adian, “Defining relations and the word problem for free periodic groups of odd order”, Math. USSR-Izv., 2:4 (1968), 935–942  mathnet  crossref  mathscinet  zmath
    2. P. S. Novikov, S. I. Adian, “On abelian subgroups and the conjugacy problem in free periodic groups of odd order”, Math. USSR-Izv., 2:5 (1968), 1131–1144  mathnet  crossref  mathscinet  zmath
    3. S. I. Adian, “Infinite irreducible systems of group identities”, Math. USSR-Izv., 4:4 (1970), 721–739  mathnet  crossref  mathscinet  zmath
    4. S. I. Adian, “On some torsion-free groups”, Math. USSR-Izv., 5:3 (1971), 475–484  mathnet  crossref  mathscinet  zmath
    5. Joseph G Rosenstein, “ℵ0-Categoricity of groups”, Journal of Algebra, 25:3 (1973), 435  crossref
    6. Robert McNaughton, Yechezkel Zalcstein, “The Burnside problem for semigroups”, Journal of Algebra, 34:2 (1975), 292  crossref
    7. V. L. Shirvanyan, “Independent systems of defining relations for a free periodic group of odd exponent”, Math. USSR-Sb., 29:1 (1976), 119–122  mathnet  crossref  mathscinet  zmath  isi
    8. A. I. Sozutov, V. P. Shunkov, “On a generalization of Frobenius' theorem to infinite groups”, Math. USSR-Sb., 29:4 (1976), 441–451  mathnet  crossref  mathscinet  zmath  isi
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    15. Antonio Restivo, Christophe Reutenaeur, “Rational languages and the Burnside problem”, Theoretical Computer Science, 40 (1985), 13  crossref
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    17. Kirby A. Baker, George F. McNulty, Walter Taylor, “Growth problems for avoidable words”, Theoretical Computer Science, 69:3 (1989), 319  crossref
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    20. A. Yu. Ol'shanskii, “Periodic factor of hyperbolic groups”, Math. USSR-Sb., 72:2 (1992), 519–541  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    22. S. I. Adian, I. G. Lysenok, “On groups all of whose proper subgroups of which are finite cyclic”, Math. USSR-Izv., 39:2 (1992), 905–957  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    26. S. I. Adian, “On the centenary of the birth of Petr Sergeevich Novikov”, Russian Math. Surveys, 56:4 (2001), 793–802  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    27. do Lago A., “Local Groups in Free Groupoids Satisfying Certain Monoid Identities”, Int. J. Algebr. Comput., 12:1-2 (2002), 357–369  crossref  isi
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    53. S. I. Adian, V. S. Atabekyan, “The Hopfian Property of $n$-Periodic Products of Groups”, Math. Notes, 95:4 (2014), 443–449  mathnet  crossref  crossref  mathscinet  isi  elib
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