|
Algebra and Discrete Mathematics, 2004, Issue 4, Pages 79–105
(Mi adm362)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
On simple groups of large exponents
Dmitriy Sonkin Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, USA
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.
Keywords:
Burnside group, van Kampen diagram, graded diagram, graded presentation, non-isomorphic 2-generated torsion simple groups.
Received: 12.06.2004 Revised: 15.12.2004
Citation:
Dmitriy Sonkin, “On simple groups of large exponents”, Algebra Discrete Math., 2004, no. 4, 79–105
Linking options:
https://www.mathnet.ru/eng/adm362 https://www.mathnet.ru/eng/adm/y2004/i4/p79
|
Statistics & downloads: |
Abstract page: | 147 | Full-text PDF : | 63 | References: | 5 | First page: | 1 |
|