On the homotopy groups of $A(X)$
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- by Stanisław Betley PDF
- Proc. Amer. Math. Soc. 98 (1986), 495-498 Request permission
Abstract:
In this paper we will prove that if $X$ is any space with a finite fundamental group, then Waldhausen’s algebraic $K$-groups of $X$ are finitely generated. We will use Dwyer’s machinery developed in Twisted homological stability for general linear groups (Ann. of Math. 111).References
- W. G. Dwyer, Twisted homological stability for general linear groups, Ann. of Math. (2) 111 (1980), no. 2, 239–251. MR 569072, DOI 10.2307/1971200
- Wilberd van der Kallen, Homology stability for linear groups, Invent. Math. 60 (1980), no. 3, 269–295. MR 586429, DOI 10.1007/BF01390018
- M. S. Raghunathan, A note on quotients of real algebraic groups by arithmetic subgroups, Invent. Math. 4 (1967/68), 318–335. MR 230332, DOI 10.1007/BF01425317
- J.-P. Serre, Arithmetic groups, Homological group theory (Proc. Sympos., Durham, 1977) London Math. Soc. Lecture Note Ser., vol. 36, Cambridge Univ. Press, Cambridge-New York, 1979, pp. 105–136. MR 564421 F. Waldausen, Algebraic $K$-theory of topological spaces. I, Proc. Sympos. Pure Math., vol. 32, Part 1, Amer. Math. Soc., Providence, R.I., 1978, pp. 35-60.
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 495-498
- MSC: Primary 18F25; Secondary 19D10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857948-6
- MathSciNet review: 857948