Elementary equivalence and genus of finitely generated nilpotent groups

DOI10.1017/S0004972700004147zbMath0686.20032MaRDI QIDQ4204335

Francis Oger

Publication date: 1988

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

zbMATH Keywords

finitely generated nilpotent groupsMislin genussubgroup of finite indexfinite imageselementarily equivalentPickel genus

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Models of other mathematical theories (03C65)

Related Items (2)

Isomorphism and elementary equivalence of multilinear maps ⋮ Quasi-finitely axiomatizable nilpotent groups

Cites Work

• Cancellation and elementary equivalence of groups
• Équivalence élémentaire entre groupes finis-par-abéliens de type fini
• Genus and cancellation for groups with finite commutator subgroups
• Nilpotent groups

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