of group theory, the Baumslag–Solitar groups are examples of two-generator one-relator groups that play an important role in combinatorial group theory...

Baumslag group can refer to: Baumslag–Gersten group Baumslag–Solitar group This disambiguation page lists mathematics articles associated with the same...

subject of geometric group theory, the Baumslag–Gersten group, also known as the Baumslag group, is a particular one-relator group exhibiting some remarkable...

titled Some aspects of groups with unique roots. His contributions include the Baumslag–Solitar groups and parafree groups. Baumslag was a visiting scholar...

residually finite group. Any word-hyperbolic group. Quasicyclic groups. The additive group R of real numbers. The Baumslag–Solitar group B(2,3). (In general...

finite groups can be constructed using the fact that all finitely generated residually finite groups are Hopfian groups. For example the Baumslag–Solitar group...

combinatorial group theory. The Baumslag–Solitar groups are named after him and Gilbert Baumslag, after their joint 1962 paper on these groups. Solitar competed...

finitely generated one-relator group that is not Hopfian and therefore not residually finite, for example the Baumslag–Solitar group B ( 2 , 3 ) = ⟨ a , b ∣...

method of specifying a group. A presentation of a group G comprises a set S of generators—so that every element of the group can be written as a product...

R. Volpert. The Cayley graph of the Baumslag–Solitar group B S ( 1 , 2 ) {\displaystyle BS(1,2)} , has the group elements as vertices, connected by edges...

on quasi-isometric rigidity of Baumslag–Solitar groups. The theory of word-hyperbolic and relatively hyperbolic groups. A particularly important development...

finitely generated Coxeter groups Geometrically finite groups Baumslag–Solitar groups Non-Euclidean nilpotent groups A group is biautomatic if it has two...

also the case for mapping class groups of closed hyperbolic surfaces. The Baumslag–Solitar groups B(m,n) and any group that contains a subgroup isomorphic...

relations as possible, such as one relator groups like Baumslag–Solitar groups. These groups are infinite groups with two generators and one relation, and...

Magnus, Wilhelm; Karrass, Abraham & Solitar, Donald (1996). Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations...

7.5 in ). For m ≠ 0 , n ≠ 0 {\displaystyle m\neq 0,n\neq 0} the Baumslag–Solitar group B S ( m , n ) = ⟨ a , t ∣ t − 1 a m t = a n ⟩ {\displaystyle BS(m...

decomposition constructions. For every n ≥ 1 {\displaystyle n\geq 1} the Baumslag–Solitar group B S ( 1 , n ) = ⟨ a , t ∣ t − 1 a t = a n ⟩ {\displaystyle BS(1...

example, consider the infinite cyclic group ℤ = ⟨b⟩, embedded as a normal subgroup of the Baumslag–Solitar group BS(1, 2) = ⟨a, b⟩. With respect to the...

computing Donald Solitar (B.A. 1953), mathematician, known for his work in combinatorial group theory; the Baumslag–Solitar groups are named after him...

Combinatorial Group Theory. A Case Study in the History of Ideas. Springer 1982. Wilhelm Magnus, Abraham Karrass, Donald Solitar, Combinatorial group theory...

co-Hopfian is not a quasi-isometry invariant for finitely generated groups. Baumslag–Solitar groups B S ( 1 , m ) {\displaystyle BS(1,m)} , where m ≥ 1 {\displaystyle...

integer k ≥ 2 the free abelian group Z k {\displaystyle \mathbb {Z} ^{k}} has Dehn(n) ≈ n2. The Baumslag-Solitar group B ( 1 , 2 ) = ⟨ a , b | b − 1 a...

Putnam (2018). "Self-Similar Groups". A Sampling of Remarkable Groups: Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar. Compact Textbooks in Mathematics...