The Whitehead group of the Novikov ring

DOI10.1023/A:1007857016324zbMath0996.19002arXivmath/0012031OpenAlexW1988994381MaRDI QIDQ5935571

Andrew Ranicki, Andrei V. Pajitnov

Publication date: 6 November 2002

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012031

zbMATH Keywords

splitting theoremtwisted Novikov ringWhitehead groupWitt vectors

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K_1) of group rings and orders (19B28) Whitehead (and related) torsion (19J10)

Related Items (12)

Finite domination, Novikov homology and nonsingular closed 1-forms ⋮ Twisted Alexander invariants of knot group representations. II: Computation and duality ⋮ On the Whitehead group of Novikov rings associated to irrational homomorphisms ⋮ Witt vectors with coefficients and characteristic polynomials over non-commutative rings ⋮ Twisted Alexander invariants of knot group representations ⋮ Whitehead groups of localizations and the endomorphism class group. ⋮ Finite group extensions of shifts of finite type: -theory, Parry and Livšic ⋮ Witt vectors. Part 1 ⋮ Novikov homology, twisted Alexander polynomials, and Thurston cones ⋮ On the homotopy of finite $ {CW}$-complexes with polycyclic fundamental group ⋮ K₁of Corner Skew Laurent Polynomial Rings and Applications ⋮ Novikov homology of HNN-extensions and right-angled Artin groups.

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