On simple groups of large exponents

dc.contributor.author	Sonkin, D.
dc.date.accessioned	2019-06-18T17:41:19Z
dc.date.available	2019-06-18T17:41:19Z
dc.date.issued	2004
dc.identifier.citation	On simple groups of large exponents / D. Sonkin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 79–105. — Бібліогр.: 10 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 20F50; 20F05, 20F06.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156601
dc.description.abstract	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 cardinality continuum.	uk_UA
dc.description.sponsorship	The author wishes to thank S.V. Ivanov for helpful discussions. The author is greatly thankful to A.Yu.Ol’shanskii for suggesting the problem, useful discussions, comments and constant encouragement.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On simple groups of large exponents	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA