Whitehead groups of semidirect products of free groups
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 155-158

Voir la notice de l'article provenant de la source Cambridge University Press

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 . Let α be an automorphism of G and T an infinite cyclic group. Then we denote by G ×αT the semidirect product of G and T with respect to α. For undefined terminologies used in the paper, we refer to [3] and [7].
Choo, Koo-Guan. Whitehead groups of semidirect products of free groups. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 155-158. doi: 10.1017/S0017089500003566
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[1] 1.Bass, H., Heller, A. and Swan, R. G., The Whitehead group of a polynomial extension, Inst. Hautes Études Sri. Publ. Math. No. 22 (1964), 61–79. MR30 #4806. Google Scholar

[2] 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. MR 50 #13154. Google Scholar

[3] 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 | DOI

[4] 4.Choo, K. G., Whitehead groups of certain semidirect products of free groups, Proc. Amer. Math. Soc. 43 (1974), 2630. MR49 #2890. Google Scholar | DOI

[5] 5.Choo, K. G., Whitehead groups of certain semidirect products of free groups, II, Nanta Math. 9 (1976), 138–140. Google Scholar

[6] 6.Choo, K. G., The projective class groups of certain semidirect products of free groups, Nanta Math. 10 (1977), 44–46. Google Scholar

[7] 7.Farrell, F. T. and Hsiang, W. C., A formula for KR[T], Proc. Sympos. Pure Math., vol. 17, (Amer. Math. Soc, 1970), 192–218. MR41 #5457. Google Scholar

[8] 8.Farrell, F. T., The obstruction of fibering a manifold over a circle, Indiana Univ. Math. J. 21 (1971), 315–346. Google Scholar

[9] 9.Gersten, S. M., K-theory of free rings, Comm. Algebra 1 (1974), 39–64. Google Scholar | DOI

[10] 10.Stallings, J., Whitehead torsion of free products, Ann. of Math. 82 (1965), 354–363. MR31 #3518. Google Scholar

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