Email this article C*-simplicity of n-periodic products
- Authors: Adyan S.I.1, Atabekyan V.S.2
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Yerevan State University
- Issue: Vol 99, No 5-6 (2016)
- Pages: 631-635
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149379
- DOI: https://doi.org/10.1134/S0001434616050011
- ID: 149379
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Abstract
The C*-simplicity of n-periodic products is proved for a large class of groups. In particular, the n-periodic products of any finite or cyclic groups (including the free Burnside groups) are C*-simple. Continuum-many nonisomorphic 3-generated nonsimple C*-simple groups are constructed in each of which the identity xn = 1 holds, where n ≥ 1003 is any odd number. The problem of the existence of C*-simple groups without free subgroups of rank 2 was posed by de la Harpe in 2007.
About the authors
S. I. Adyan
Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: sia@mi.ras.ru
Russian Federation, Moscow
V. S. Atabekyan
Yerevan State University
Email: sia@mi.ras.ru
Armenia, Yerevan
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