A user's guide to cloning systems

zbMath1472.20087arXiv1606.08762MaRDI QIDQ4642656

Matthew C. B. Zaremsky

Publication date: 25 May 2018

Full work available at URL: https://arxiv.org/abs/1606.08762

zbMATH Keywords

finiteness propertiesThompson's groupcloning system

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Homological methods in group theory (20J05)

Related Items

A new family of infinitely braided Thompson's groups, Classification of Thompson related groups arising from Jones' technology II, Forest-skein groups II: Construction from homogeneously presented monoids, Almost-automorphisms of trees, cloning systems and finiteness properties

Cites Work

• The braided Thompson's groups are of type \(F_\infty\)
• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Introductory notes on Richard Thompson's groups
• Some isomorphism results for Thompson-like groups \(V_n(G)\)
• Thompson groups for systems of groups, and their finiteness properties
• Finiteness properties of soluble arithmetic groups over global function fields.
• The group of parenthesized braids.
• A New Class of Generalized Thompson's Groups and Their Normal Subgroups
• The algebra of strand splitting. I. A braided version of Thompson's group V
• Finiteness properties of groups