Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-25T22:19:43.674Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Homology of the General Linear Groups Over Z/4

Published online by Cambridge University Press:  20 November 2018

Victor Snaith
Victor Snaith*
Affiliation:
The University of Western Ontario, London, Ontario
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let p be a prime. The algebraic K-theory of Z/p2 is unknown. However it is easy to show that Ki(Z/p2) is finite if i > 0 and that it differs only in its K-torsion from Ki(Z/p) which was computed in [2]. To proceed further one surely needs the mod p (co-)homology of GLZ/p2. There is an exact sequence

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 4 , 01 August 1978 , pp. 851 - 855
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Friedlander, E. M., Computations of K-theories of finite fields, Topology 15 (1976), 87–109.Google Scholar
2. Quillen, D. G., On the cohomology and K-theory of the general linear group over a finite field, Annals of Math 96 (1972), 552–586.Google Scholar