Geodesic
The Group of Units in K-Theory Modulo an Odd Prime
Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 915-928

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

1. Introduction. There are several multiplicative cohomology theories for which the group of units in the zeroth term is the zeroth term of another cohomology theory. Examples, due to Segal, May and others, are given by ordinary cohomology with rather general graded coefficients, real and complex K-theory with integral coefficients, and various bordism theories, also with integral coefficients [8, 7, 2, 5, IV]. The object of this paper is to show that complex K-theory modulo an odd prime p provides a counter-example.To state the theorem precisely we recall the result of Araki and Toda that there is a unique anticommutative associative admissible multiplication in K*( ;Z/p) for p an odd prime [3, 3, 7, 10]; admissible is defined in [3] and means essentially that the reduction homomorphism K*( ) → K*( ; Z/p) preserves products. 
Steiner, R. J. The Group of Units in K-Theory Modulo an Odd Prime. Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 915-928. doi: 10.4153/CJM-1979-087-0
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