The geometry of higman‐neumann‐neumann extensions

DOI10.1002/cpa.3160260522zbMath0282.20029OpenAlexW2109238124MaRDI QIDQ4767903

Charles F. III Miller, Paul E. Schupp

Publication date: 1973

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160260522

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Word problems, etc. in computability and recursion theory (03D40)

Related Items (13)

Solvable groups with polynomial Dehn functions ⋮ Infinite groups ⋮ Balanced finite presentations of the trivial group ⋮ Results in partially ordered groups ⋮ A strengthened Freiheitssatz ⋮ On the conjugacy problem in a free product with commuting subgroups ⋮ On the conjugacy growth functions of groups. ⋮ Free products and long automorphism sequences ⋮ A spelling theorem for staggered generalized 2-complexes, with applications ⋮ Model-theoretic and algorithmic questions in group theory ⋮ Asymptotic invariants, complexity of groups and related problems ⋮ Isoperimetric inequalities and the homology of groups ⋮ Two generator subgroups of free products with commuting subgroups

Cites Work

• Visualizing the word problem, with an application to sixth groups

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