Mackey and Frobenius Structures on Odd Dimensional Surgery Obstruction Groups
Copyright policy )Mackey and Frobenius Structures on Odd Dimensional Surgery Obstruction Groups
An axiomatic foundation for surgery obstruction \(L\)-groups was described by \textit{C. T. C. Wall} [Proc. Camb. Philos. Soc. 67, 243--250 (1970; Zbl 0197.31103)] and \textit{A. A. Ranicky} [Proc. Lond. Math. Soc., III. Ser. 27, 101--125 (1973; Zbl 0269.18009)]. \textit{A. Bak} in his thesis [``The stable structure of quadratic forms'' Columbia Univ. (1969)] conceptually unified all existing notions of forms by inventing the notion of quadratic form parameter and developed certain exact sequences for computation. In the present paper this approach is generalised for the odd dimension case, i.e., for the case of automorphisms of quadratic forms.
- Okayama University Japan
\(L\)-theory of group rings, Surgery obstructions, Wall groups, Witt groups of rings, Mackey functor, induction theory Bak group surgery, Surgery obstructions (\(K\)-theoretic aspects)
\(L\)-theory of group rings, Surgery obstructions, Wall groups, Witt groups of rings, Mackey functor, induction theory Bak group surgery, Surgery obstructions (\(K\)-theoretic aspects)
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