Projective modules over binary polyhedral groups.

DOI10.1515/crll.1983.342.66zbMath0503.20001OpenAlexW3184236536MaRDI QIDQ3969110

Richard G. Swan

Publication date: 1983

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002200546

zbMATH Keywords

quaternion groupgroup ring of finite groupcancellation theorem for projective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (23)

Galois module structure of the square root of the inverse different in even degree tame extensions of number fields ⋮ Orders in quaternion algebras over global function fields having the cancellation property ⋮ G-signatures and cyclotomic units ⋮ Construction of normal bases for absolute Galois extensions with quaternionic Galois group of order 12 ⋮ Computing isomorphisms between lattices ⋮ Stably free modules over rings of Laurent polynomials. ⋮ Infinite branching in the first syzygy. ⋮ Cancellation and stability properties of generalized torsion modules ⋮ An exotic presentation of \(Q_{28}\) ⋮ Examples of exotic free 2-complexes and stably free nonfree modules for quaternion groups ⋮ Stably free modules over virtually free groups. ⋮ Generalised Swan modules and the D(2) problem ⋮ A flat projective variety with \(D_8\)-holonomy ⋮ A cancellation theorem for modules over integral group rings ⋮ Computing generators of free modules over orders in group algebras II ⋮ Stably free rings of integers over \(\mathbb{Z}[H_8\times C_2\)] ⋮ On class groups of lattices ⋮ Syzygy modules for dihedral groups ⋮ A stably free nonfree module and its relevance for homotopy classification, case \(Q_28\) ⋮ The homotopy type of four-dimensional knot complements ⋮ On CW-complexes over groups with periodic cohomology ⋮ The stable class of the augmentation ideal. ⋮ Integral group rings: Groups of units and classical K-theory

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