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Izv. Akad. Nauk SSSR Ser. Mat., 1968, Volume 32, Issue 1, Pages 212–244 (Mi izv2699)  

This article is cited in 70 scientific papers (total in 72 papers)

Infinite periodic groups. I

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, 2:1, 209–236

Bibliographic databases:

UDC: 519.4
MSC: 20F50, 20F05, 20F10
Received: 23.10.1967

Citation: P. S. Novikov, S. I. Adian, “Infinite periodic groups. I”, Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968), 212–244; Math. USSR-Izv., 2:1 (1968), 209–236

Citation in format AMSBIB
\by P.~S.~Novikov, S.~I.~Adian
\paper Infinite periodic groups. I
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 1
\pages 212--244
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 1
\pages 209--236

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    This publication is cited in the following articles:
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    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
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