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On simple groups of large exponents

It is shown that the set of pairwise non-isomorphic 2-generated simple groups of exponent n (n ≥ 2⁴⁸ and n is odd or divisible by 2⁹ ) 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 cardina...

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Bibliographic Details
Main Author: Sonkin, D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156601
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