This article is cited in 12 papers

Defining relations and the word problem for free periodic groups of odd order

P. S. Novikov, S. I. Adian


Abstract: We prove that the free periodic group of odd order $n\geqslant4381$ with $m>1$ generators cannot be given by a finite number of defining relations. The word problem for these groups is solvable.

UDC: 519.4

MSC: 20F05, 20F50, 20D10

Received: 19.03.1968

 English version: Mathematics of the USSR-Izvestiya, 1968, 2:4, 935–942

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