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On simple groups of large exponents
Репозиторій DSpace/Manakin
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On simple groups of large exponents
Інший ID:
2000 Mathematics Subject Classification: 20F50; 20F05, 20F06.
Посилання:
On simple groups of large exponents / D. Sonkin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 79–105. — Бібліогр.: 10 назв. — англ.
Підтримка:
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.
Дата:
2004
Переглядів:
457
Завантажень:
153
Анотація:
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.
