Phantom maps and purity in modular representation theory, II

David John Benson, D. G. P. Gnacadja

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In the second part of this paper, we use the theory described in the first part to construct an example of a counterintuitive phenomenon. We show how to produce examples of filtered systems in the stable module category stmod(kG) which do not lift to filtered systems in the module category mod(kG). Our main tool is the Extended Milnor Sequence, a five-term exact sequence which specializes to the classical Milnor sequence under certain countability conditions.

Original languageEnglish
Pages (from-to)395-404
Number of pages9
JournalAlgebras and Representation Theory
Volume4
DOIs
Publication statusPublished - 2001

Keywords

  • phantom maps
  • modular representation theory
  • extended Milnor sequence

Cite this