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Algebra and Discrete Mathematics, 2007, Issue 2, Pages 111–114 (Mi adm210)  
RESEARCH ARTICLE

A 2-generated 2-related group with no non-trivial finite quotients

A. Yu. Ol'shanskii, M. V. Sapir

Department of Mathematics, Vanderbilt University , Nashville, TN 37240, Department of Mathematics, Moscow State University, Moscow, 119899, Russia
Full-text PDF (570 kB)
Abstract: We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button.
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Yu. Ol'shanskii, M. V. Sapir, “A 2-generated 2-related group with no non-trivial finite quotients”, Algebra Discrete Math., 2007, no. 2, 111–114
Citation in format AMSBIB
\Bibitem{OlsSap07}
\by A.~Yu.~Ol'shanskii, M.~V.~Sapir
\paper A 2-generated 2-related group with no non-trivial finite quotients
\jour Algebra Discrete Math.
\yr 2007
\issue 2
\pages 111--114
\mathnet{http://mi.mathnet.ru/adm210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2364067}
\zmath{https://zbmath.org/?q=an:1164.20343}
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