This article is cited in 70 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.

UDC: 519.4

MSC: 20F50, 20F05, 20F10, 20Cxx

Received: 23.10.1967

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

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