On torsion-free groups with finite regular file bases

DOI10.1090/S0002-9947-07-04256-0zbMath1128.20018arXivmath/0504438MaRDI QIDQ3433733

Alexey Muranov

Publication date: 2 May 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504438

zbMATH Keywords

presentationsfree subgroupsvirtually polycyclic groupsboundedly generated groupsfile basesvan Kampen lemmadiagrams with selection

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) 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 (1)

FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH

Cites Work

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• The homotopy type of a combinatorially aspherical presentation
• Aspherical group presentations
• Cohomology theory of aspherical groups and of small cancellation groups
• Soluble products of polycyclic groups
• Combinatorial group theory.
• File bases in groups
• Über das Produkt von zwei abelschen Gruppen
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• DIAGRAMS WITH SELECTION AND METHOD FOR CONSTRUCTING BOUNDEDLY GENERATED AND BOUNDEDLY SIMPLE GROUPS
• ON PRODUCTS OF QUASICONVEX SUBGROUPS IN HYPERBOLIC GROUPS

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