This article is cited in 4 papers

$SQ$-universality of one-relator relative presentations

Ant. A. Klyachko

M. V. Lomonosov Moscow State University

Abstract: Adding two generators and an arbitrary relator to a non-trivial torsion-free group one always obtains an $SQ$-universal group. In the course of the proof of this theorem one obtains several other results of independent interest. For instance, the addition of a generator and one relator in which the sum of the exponents of the additional generator is equal to 1 to a free product of two non-trivial torsion-free groups also produces an $SQ$-universal group.
Bibliography: 27 titles.

UDC: 512.543.7

MSC: Primary 20F05; Secondary 57M07

Received: 27.03.2006

DOI: 10.4213/sm1546

 English version: Sbornik: Mathematics, 2006, 197:10, 1489–1508

Bibliographic databases:

• 
• 
• 
• 
•