On $K_3$ and $K_4$ of the integers $\bmod n$

Author:
Janet Aisbett

Journal:
Bull. Amer. Math. Soc. **6** (1982), 417-420

MSC (1980):
Primary 18F25, 20G10, 20J06; Secondary 18G40, 18G35

DOI:
https://doi.org/10.1090/S0273-0979-1982-15006-6

MathSciNet review:
648525

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References | Similar Articles | Additional Information

**1.**J. Aisbett, E. Lluis Puebla, V. Snaith and C. Soule,*On K*_{3}*and K*_{4}*of Z/n and of the dual numbers over finite fields*(preprint).**2.**L. S. Charlap and A. T. Vasquez,*The cohomology of group extensions*, Trans. Amer. Math. Soc. 124 (1966), 24-40. MR**214665****3.**L. Evens and E. Friedlander,*K*5*and r ≤*4, Bull. Amer. Math. Soc. (N.S.) 3 (1980), 440-443.**4.**R. Lee and R. H. Szczarba,*The group K*48, Ann. of Math. 104 (1976), 31-60. MR**442934****5.**E. Lluis Puebla and V. Snaith,*Determination of*$K\sb 3({\bbfF}\sb{p\sp{\ell}}[t]/(t\sp 2))$*for primes*p$\ge 5$, Proc. Conf. 'Current trends in algebraic topology', Univ. of Western Ont., 1981 (to appear).**6.**Stewart Priddy,*On a conjecture concerning 𝐾_{∗}(𝑍/𝑝²)*, Algebraic 𝐾-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980) Lecture Notes in Math., vol. 854, Springer, Berlin, 1981, pp. 338–342. MR**618311****7.**D. Quillen,*Higher K-theory for categories with exact sequences*, New Developments in Topology (G. Segal (ed.)), Oxford Univ. Press, 1974, pp. 95-103. MR**335604****8.**D. Quillen,*On the cohomology and K-theory of the general linear groups over a finite field*, Ann. of Math. (2) 96 (1972), 552-586. MR**315016****9.**J. B. Wagoner,*Stability for homology of the general linear group of a local ring*, Topology 15 (1976), 417-423. MR**417263****10.**J. B. Wagoner,*Continuous cohomology and p-adic K-theory*, Lecture Notes in Math., vol. 551, Springer-Verlag, Berlin and New York, 1975, pp. 241-248. MR**498502**

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DOI:
https://doi.org/10.1090/S0273-0979-1982-15006-6