On class groups of lattices

DOI10.1016/0022-4049(87)90064-8zbMath0617.16002OpenAlexW2049251792MaRDI QIDQ1821848

Yanyan Li

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90064-8

zbMATH Keywords

orderDedekind domaingenusmaximal orderslocally free class groupcentral simple algebraray class groupclass groups of algebrasgroup of spinor generalattices on quadratic spaces

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Noncommutative local and semilocal rings, perfect rings (16L30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen
• Spinor class groups of orders
• Projective modules over binary polyhedral groups.
• Locally free modules over arithmetic orders.
• Spinor genera under field extensions, I

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