Commensurability and elementary equivalence of polycyclic groups

DOI10.1017/S0004972700017184zbMath0884.20022MaRDI QIDQ4350823

Deborah Martins Raphael

Publication date: 3 February 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

polycyclic-by-finite groupssubgroups of finite indexelementary theoriescommensurability

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Models of other mathematical theories (03C65)

Related Items (1)

Polycyclic-by-finite groups and first-order sentences

Cites Work

• Cancellation and elementary equivalence of groups
• Width of verbal subgroups in solvable groups
• Équivalence élémentaire entre groupes finis-par-abéliens de type fini
• A note on finitely generated torsion-free nilpotent groups of class 2
• Cancellation and Elementary Equivalence of Finitely Generated Finite-By-Nilpotent Groups
• Elementary Equivalence and Profinite Completions: A Characterization of Finitely Generated Abelian-by-Finite Groups
• Commutators of Certain Finitely Generated Soluble Groups
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