On genus and embeddings of torsion-free nilpotent groups of class two
DOI10.1007/BF02678206zbMath0878.20022MaRDI QIDQ1360905
Carles Casacuberta, Charles Cassidy, Scevenels, Dirk
Publication date: 2 September 1997
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/156276
embeddingsfinitely generated torsion-free nilpotent groupsideal class groups in quadratic fieldsisomorphic localizationsMislin genera
Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Localization and completion in homotopy theory (55P60) Extensions, wreath products, and other compositions of groups (20E22)
Cites Work
- P-universality and fibrewise P-universality in the category of nilpotent groups
- On uniqueness of direct decompositions of groups into directly indecomposable factors
- Finite rank torsion free Abelian groups and rings
- Nilpotent groups of Hirsch length six
- The normalizer of the Weyl group
- Rational Lie algebras and p-isomorphisms of nilpotent groups and homotopy types
- Genus and cancellation for groups with finite commutator subgroups
- Bicartesian squares of nilpotent groups
- A note on finitely generated torsion-free nilpotent groups of class 2
- Some remarks on almost finitely generated nilpotent groups
- On nilpotent groups which are finitely generated at every prime
- On almost finitely generated nilpotent groups
- On \(p\)-equivalences and \(p\)-universal spaces
- Compressibility in Nilpotent Groups
- Genus of nilpotent groups of Hirsch length six
- Extended genus of torsion-free finitely generated nilpotent groups of class two
- Rationally equivalent nilpotent groups and spaces
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