Geodesic
On simple groups of large exponents
Algebra and discrete mathematics, no. 4 (2004), pp. 79-105

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the set of pairwise non-isomorphic $2$-generated simple groups of exponent $n$ ($n\ge 2^{48}$ and $n$ is odd or divisible by $2^9$) is of cardinality continuum. As a corollary, for any sufficiently large $n$ the set of pairwise non-isomorphic $2$-generated groups of exponent $n$ is of cardinality continuum.
Keywords: Burnside group, van Kampen diagram, graded diagram, graded presentation, non-isomorphic $2$-generated torsion simple groups. 
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     author = {Dmitriy Sonkin},
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     year = {2004},
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Dmitriy Sonkin. On simple groups of large exponents. Algebra and discrete mathematics, no. 4 (2004), pp. 79-105. http://geodesic.mathdoc.fr/item/ADM_2004_4_a6/