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K3 of truncated polynomial rings over fields of characteristic two

Published online by Cambridge University Press:  24 October 2008

Janet Aisbett  and
Victor Snaith
Janet Aisbett
Affiliation:
Electronic Research Laboratory, D.S.T.O., Adelaide, S.A. 5001, Australia
Victor Snaith
Affiliation:
Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada
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Extract

Write F for the finite field, , having 2m elements. Let W2(F) denote the Witt vectors of length two over F (for a definition, see [4] or [10], §10). Write F(q) for the truncated polynomial ring, F[t]/(tq).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 3 , May 1987 , pp. 509 - 521
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

[1]Aisbett, J.. On K 3 of truncated polynomial rings, to appear in Trans. Amer. Math. Soc.Google Scholar
[2]Aisbett, J., Lluis-Puebla, E. and Snaith, V.. On K 3 of q[t]/(t 2) and q[t]/(t 3). J. Algebra 101 (1986), 69–81.CrossRefGoogle Scholar
[3]Cartan, H. and Eilenberg, S.. Homological Algebra (Princeton University Press, 1956).Google Scholar
[4]Dennis, K. and Stein, M.. K 2 of discrete valuation rings. Advances in Math. 18 (1975), 182–238.CrossRefGoogle Scholar
[5]Dwyer, W. G.. Twisted homological stability for general linear groups. Ann. of Math. (2) 111 (1980), 239–252.CrossRefGoogle Scholar
[6]Hilton, P. J. and Stammbach, U.. A Course in Homological Algebra. Graduate Texts in Math. no. 4 (Springer-Verlag, 1971).CrossRefGoogle Scholar
[7]Kassel, C.. K-théorie relative d'un idéal bilatère de carré nul; étude homologique en basse dimension. In Algebraic K-Theory (Evanston 1980), Lecture Notes in Mathematics, vol. 854 (Springer-Verlag, 1981), 249–261.Google Scholar
[8]Lluis-Puebla, E.. On K 3{pl[t]/(t 2) and K 3(ℤ/p), p an odd prime, in On K *(Z/n) and K *[q[t 2)). Mem- Amer. Math. Soc. 329 (1985).Google Scholar
[9]Lluis-Puebla, E. and Snaith, V.. Determination of K 3{pl[t]/(t 2) for prime p ≥ 5. Canad. Math. Soc. Conf. Proc., vol. 2, part 1 (1982), 29–35.Google Scholar
[10]Snaith, V.. On K 3 of dual numbers, in On K *(Z/n) and K *(q[t]/(t 2)). Mem. Amer. Math. Soc. 329 (1985).Google Scholar
[11]Stienstra, J.. On K 2 and K 3 of truncated polynomial rings. In Algebraic K-theory (Evanston 1980), Lecture Notes in Mathematics, vol. 854 (Springer-Verlag, 1981), 409–455.Google Scholar
[12]van der Kallen, W. and Stienstra, J.. The relative K 2 of truncated polynomial rings. J. Pure and Applied Algebra 34 (1984), 277–290.CrossRefGoogle Scholar
[13]Weibel, C.. Module structures on the K-theory of graded rings, preprint (1984).Google Scholar