Algebraic 𝐾-theory of poly-(finite or cyclic) groups

Quinn, Frank

doi:10.1090/S0273-0979-1985-15353-4

Algebraic $K$-theory of poly-(finite or cyclic) groups
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Bull. Amer. Math. Soc. 12 (1985), 221-226

References

Hyman Bass and M. Pavaman Murthy, Grothendieck groups and Picard groups of abelian group rings, Ann. of Math. (2) 86 (1967), 16–73. MR 219592, DOI 10.2307/1970360
David W. Carter, Lower $K$-theory of finite groups, Comm. Algebra 8 (1980), no. 20, 1927–1937. MR 590500, DOI 10.1080/00927878008822554
Warren Dicks, Groups, trees and projective modules, Lecture Notes in Mathematics, vol. 790, Springer, Berlin, 1980. MR 584790, DOI 10.1007/BFb0088140
Daniel R. Farkas, Crystallographic groups and their mathematics, Rocky Mountain J. Math. 11 (1981), no. 4, 511–551. MR 639438, DOI 10.1216/RMJ-1981-11-4-511
F. T. Farrell and W. C. Hsiang, The Whitehead group of poly-(finite or cyclic) groups, J. London Math. Soc. (2) 24 (1981), no. 2, 308–324. MR 631942, DOI 10.1112/jlms/s2-24.2.308
F. T. Farrell and W. C. Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 325–337. MR 520509
Jean-Louis Loday, $K$-théorie algébrique et représentations de groupes, Ann. Sci. École Norm. Sup. (4) 9 (1976), no. 3, 309–377 (French). MR 447373, DOI 10.24033/asens.1312
Andrew J. Nicas, On the higher Whitehead groups of a Bieberbach group, Trans. Amer. Math. Soc. 287 (1985), no. 2, 853–859. MR 768746, DOI 10.1090/S0002-9947-1985-0768746-X
Andrew J. Nicas, On $\textrm {Wh}_{3}$ of a Bieberbach group, Math. Proc. Cambridge Philos. Soc. 95 (1984), no. 1, 55–60. MR 727080, DOI 10.1017/S0305004100061302
Andrew J. Nicas, On the higher Whitehead groups of a Bieberbach group, Trans. Amer. Math. Soc. 287 (1985), no. 2, 853–859. MR 768746, DOI 10.1090/S0002-9947-1985-0768746-X
Frank Quinn, Ends of maps. II, Invent. Math. 68 (1982), no. 3, 353–424. MR 669423, DOI 10.1007/BF01389410
Frank Quinn, Geometric algebra, Algebraic and geometric topology (New Brunswick, N.J., 1983) Lecture Notes in Math., vol. 1126, Springer, Berlin, 1985, pp. 182–198. MR 802791, DOI 10.1007/BFb0074444
Friedhelm Waldhausen, Algebraic $K$-theory of generalized free products. I, II, Ann. of Math. (2) 108 (1978), no. 1, 135–204. MR 498807, DOI 10.2307/1971165
C. A. Weibel, Mayer-Vietoris sequences and module structures on $NK_\ast$, Algebraic $K$-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980) Lecture Notes in Math., vol. 854, Springer, Berlin, 1981, pp. 466–493. MR 618317, DOI 10.1007/BFb0089534