Topology Vol pp Pergamon Pras Printed in Great Britain

Description

Topology Vol. 3, pp. 137471. Pergamon Pras, 1965. Printed in Great Britain ON THE GROUPS J(X)-11 J. F. ADAMS (Received 4 September 1963) $1. INTRODUCTION THE GENERAL object of this series of papers is to give means for computingthe groups J(X). A general introduction has been given at the beginning of Part I. The object of the present paper, Part II, is to set up the groups J'(x) and J”(X). The arrangement of the present paper is as follows. We reach the group J'(X) in $6. Its definition depends on the “cannibalistic characteristic lass” pk, which is treated in 45; and this in turn depends on the Thorn isomorphism in K-theory, to which we devote $4. The group J”(x) is treated in $3. Here we prove Theorem (3.12), which states a formal property of J”, and is required for use in [5]. $2 is devoted to necessary number-theory about the Bernoulli numbers. $2. NUMBER-THEORY The work of Milnor and Kervaire [ 151 shows the importance of the Bernoulli numbers in studying the J-homomorphism. In what follows, we shall need certain elementary number-theoretical results about Bernoulli numbers and related topics.

• mod


• known


• estimate holds modulo


• residue classes


• groups j'


• x'


• determined residue

Sujets

• Royaume-Uni

Informations

• Publié par: pefav
• Nombre de lectures: 13
• Langue: English
• Poids de l'ouvrage: 1 Mo

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