The surgery obstruction groups for finite 2-groups

DOI10.1007/BF01389893zbMath0455.57016MaRDI QIDQ1150184

R. James Milgram, Ian Hambleton

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142751

zbMATH Keywords

oriented surgery obstruction groups for a finite 2-groupprojective surgery groupRanicki- Rothenberg-Sequencereduced projective classgroup

Mathematics Subject Classification ID

Integral representations of finite groups (20C10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Surgery obstructions, Wall groups (57R67)

Related Items (7)

On realization of Whitehead torsion ⋮ Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup ⋮ Visible surgery, four-dimensional \(s\)-cobordisms and related questions in geometric topology ⋮ Algebraic K-theory of quadratic forms ⋮ Some Product Formulae for Nonsimply Connected Surgery Problems ⋮ On s-cobordisms of metacyclic prism manifolds ⋮ Class groups of cyclic p ‐groups

Cites Work

• Classification of Hermitian forms. VI: Group rings
• Nontrivial lower bounds for class groups of integral group rings
• Formulae for surgery obstructions
• On the projective class group of cyclic groups of prime power order
• The exact sequence of a localization for Witt groups. II: Numerical invariants of odd-dimensional surgery obstructions
• Grothendieck and Witt groups of orders and finite groups
• Norms of Units in Group Rings
• The class groups of quaternion and dihedral 2‐groups
• Sur la décomposition des algèbres de groupes
• Introduction to Algebraic K-Theory. (AM-72)
• Algebraic L -Theory, I: Foundations
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