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Whitehead groups of semidirect products of free groups II

Published online by Cambridge University Press:  18 May 2009

Koo-Guan Choo
Koo-Guan Choo
Affiliation:
Department Of Pure Mathematics, University of Sydney, Sydney, N.S.W. 2006, Australia.
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Let G be a group. We denote the Whitehead group of G by Wh G and the projective class group of the integral group ring ℤ(G) of G by . For undefined terminologies used in the paper, we refer to [3] and [6].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 1 , January 1980 , pp. 71 - 74
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

REFERENCES

1.Bass, H., Heller, A. and Swan, R. G., The Whitehead group of a polynomial extension, Inst. Hautes Études Sci. Publ. Math. No. 22 (1964), 61–79. MR 30#4806.CrossRefGoogle Scholar
2.Choo, K. G., Lam, K. Y. and Luft, E., On free product of rings and the coherence property, Algebraic K-theory II: “Classical” algebraic K-theory and connections with arithmetic, Lecture Notes in Mathematics 342 (Springer, 1973), 135–143. MR50#13154.Google Scholar
3.Choo, K. G., The projective class group of the fundamental group of a surface is trivial, Proc. Amer. Math. Soc. 40 (1973), 42–46. MR48#2222.Google Scholar
4.Choo, K. G., Whitehead groups of certain semidirect products of free groups, Proc. Amer. Math. Soc. 43 (1974), 26–30. MR49#2890.CrossRefGoogle Scholar
5.Choo, K. G., Whitehead groups of semidirect products of free groups, Glasgow Math. J., 19 (1978), 155–158.Google Scholar
6.Farrell, F. T. and Hsiang, W. C., A formula for K1RT], Proc. Sympos. Pure Math., vol. 17, (Amer. Math. Soc, 1970), 192–218. MR41#5457.Google Scholar
7.Gersten, S. M., K-theory of free rings, Comm. Algebra 1(1974), 39–64.CrossRefGoogle Scholar
8.Stallings, J., Whitehead torsion of free products, Ann of Math. 82(1965), 354–363. MR31#3518.Google Scholar
9.Waldhausen, F., Whitehead groups of generalized free products, Preliminary Report (1969).Google Scholar
10.Waldhausen, F., Whitehead groups of generalized free products, Algebraic K-theory “Classical” algebraic K-theory and connections with arithmetic, Lecture Notes in Mathemat: 342 (Springer, 1973), 155–179.Google Scholar