On simple groups of large exponents

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Sonkin, D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156601
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On simple groups of large exponents / D. Sonkin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 79–105. — Бібліогр.: 10 назв. — англ.

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&...