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Algebra i logika, 2005, Volume 44, Number 4, Pages 399–437 (Mi al124)  
This article is cited in 8 scientific papers (total in 8 papers)

The Kervaire – Laudenbach Conjecture and Presentations of Simple Groups

A. A. Klyachko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (386 kB) Citations (8)
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Abstract: The statement “no non-Abelian simple group can be obtained from a non-simple one by adding one generator and one relator” first is equivalent to the Kervaire – Laudenbach conjecture, and second, becomes true under the additional assumption that an initial non-simple group is either finite or torsion free.
Keywords: Kervaire – Laudenbach conjecture, relative presentation, simple group, car motion, cocar comotion.
Received: 18.11.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 4, Pages 219–242
DOI: https://doi.org/10.1007/s10469-005-0023-y
Bibliographic databases:
UDC: 512.543.7
Language: Russian
Citation: A. A. Klyachko, “The Kervaire – Laudenbach Conjecture and Presentations of Simple Groups”, Algebra Logika, 44:4 (2005), 399–437; Algebra and Logic, 44:4 (2005), 219–242
Citation in format AMSBIB
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\by A.~A.~Klyachko
\paper The Kervaire~-- Laudenbach Conjecture and Presentations of Simple Groups
\jour Algebra Logika
\yr 2005
\vol 44
\issue 4
\pages 399--437
\mathnet{http://mi.mathnet.ru/al124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188932}
\zmath{https://zbmath.org/?q=an:1104.20032}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 4
\pages 219--242
\crossref{https://doi.org/10.1007/s10469-005-0023-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-23944517237}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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