Author： Klyachko A.
Publisher： Springer Publishing Company
ISSN： 0002-5232
Source： Algebra and Logic, Vol.44, Iss.4, 2005-07, pp. : 219-242
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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.
Related content
On the Validity of Thompson's Conjecture for Finite Simple Groups
Communications in Algebra, Vol. 41, Iss. 11, 2013-11 ,pp. :
Access to resources
Recommend
The McKay Conjecture Is True for the Sporadic Simple Groups
By Saxl R.J.A.
Journal of Algebra, Vol. 207, Iss. 1, 1998-09 ,pp. :
Simple Groups, Probabilistic Methods, and a Conjecture of Kantor and Lubotzky
Journal of Algebra, Vol. 184, Iss. 1, 1996-08 ,pp. :
Borel's conjecture in topological groups
The Journal of Symbolic Logic, Vol. 78, Iss. 1, 2013-03 ,pp. :
Bruhat Presentations for *-Classical Groups
By Pantoja Jose
Communications in Algebra, Vol. 37, Iss. 11, 2009-11 ,pp. :