Geodesic
Normal subgroups of free periodic groups
Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 215-229

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In this paper the concept of metaperiodic word of a given exponent is introduced, and transformations (reversals) of such words are considered. It is proved that in a free periodic group $B(m,n)$ of any odd exponent $n\geqslant665$ with $m\geqslant66$ generators an infinite independent system of complementary relations can be singled out. It follows that in $B(m,n)$ there exist infinite ascending and descending chains of normal subgroups and also a recursively defined factor group of $B(m,n)$ with an unsolvable identity problem. Bibliography: 4 titles. 
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     author = {S. I. Adian},
     title = {Normal subgroups of free periodic groups},
     journal = {Izvestiya. Mathematics },
     pages = {215--229},
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     volume = {19},
     number = {2},
     year = {1982},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a0/}
}
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S. I. Adian. Normal subgroups of free periodic groups. Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 215-229. http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a0/