Geodesic
Defining relations and the word problem for free periodic groups of odd order
Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 935-942

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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. 
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     author = {P. S. Novikov and S. I. Adian},
     title = {Defining relations and the word problem for free periodic groups of odd order},
     journal = {Izvestiya. Mathematics },
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     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a13/}
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P. S. Novikov; S. I. Adian. Defining relations and the word problem for free periodic groups of odd order. Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 935-942. http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a13/