Stallings graphs, algebraic extensions and primitive elements in F2

DOI10.1017/S0305004114000097zbMath1322.20016arXiv1210.6574MaRDI QIDQ2877357

Ori Parzanchevski, Doron Puder

Publication date: 22 August 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6574

zbMATH Keywords

primitive elementsbasesStallings graphsextensions of free groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05)

Related Items

Primitive and almost primitive elements of Schreier varieties, Classes of free group extensions, Constructing Buildings and Harmonic Maps, On algebraic extensions and decomposition of homomorphisms of free groups, Reduction for 𝑆𝐿(3) pre-buildings, A list of applications of Stallings automata, The cycle structure of a Markoff automorphism over finite fields, Measure preserving words are primitive

Cites Work

• Topology of finite graphs
• Primitives in the free group on two generators
• What does a basis of F(a,b) look like?
• Stallings foldings and subgroups of free groups
• Markoff forms and primitive words