Embeddings in finitely presented groups which preserve the center.

DOI10.1016/J.JALGEBRA.2006.07.015zbMath1151.20017OpenAlexW1967195496MaRDI QIDQ863346

Abderezak Ould Houcine

Publication date: 26 January 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.07.015

zbMATH Keywords

countable Abelian groupsfinitely generated recursively presented groupssoluble word problemsubgroups of center of finitely presented groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (9)

Infinite presentability of groups and condensation ⋮ Obstructions to nonpositive curvature for open manifolds ⋮ Combinatorial group theory and the homotopy groups of finite complexes ⋮ Connected components of compact matrix quantum groups and finiteness conditions ⋮ Algebraic ranks of the fundamental groups of high dimensional graph manifolds ⋮ Algebraic ranks of CAT(0) groups. ⋮ Structural aspects of twin and pure twin groups ⋮ Negative curvature in automorphism groups of one-ended hyperbolic groups ⋮ Embedding ℚ into a finitely presented group

Cites Work

• Subgroups of finitely presented groups
• An Embedding Theorem for Finitely Generated Groups
• Finitely Presented Groups with Word Problems of Arbitrary Degrees of Insolubility
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