Infinite Burnside groups of even exponent
Izvestiya. Mathematics , Tome 60 (1996) no. 3, pp. 453-654
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We present a modified version of the Novikov–Adian theory for free Burnside groups of exponent $n=16k\geqslant 8000$. On the basis of this theory, we obtain a negative solution to the Burnside problem for even values of $n\geqslant 8000$ and prove a number of assertions on Burnside groups of exponent $n=16k\geqslant 8000$.
@article{IM2_1996_60_3_a0,
author = {I. G. Lysenok},
title = {Infinite {Burnside} groups of even exponent},
journal = {Izvestiya. Mathematics },
pages = {453--654},
publisher = {mathdoc},
volume = {60},
number = {3},
year = {1996},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1996_60_3_a0/}
}
I. G. Lysenok. Infinite Burnside groups of even exponent. Izvestiya. Mathematics , Tome 60 (1996) no. 3, pp. 453-654. http://geodesic.mathdoc.fr/item/IM2_1996_60_3_a0/