English

A Counterexample for Lightning Flash Modules over E(e1,e2)

Representation Theory 2023-01-27 v2 Algebraic Topology

Abstract

We give a counterexample to Theorem 5 in Section 18.2 of Margolis' book, "Spectra and the Steenrod Algebra", and make remarks about the proofs of some later theorems in the book that depend on it. The counterexample is a module which does not split as a sum of lightning flash modules and free modules.

Cite

@article{arxiv.1507.01039,
  title  = {A Counterexample for Lightning Flash Modules over E(e1,e2)},
  author = {David Benson and Robert R. Bruner},
  journal= {arXiv preprint arXiv:1507.01039},
  year   = {2023}
}

Comments

2 pages. Revision corrects a typo in the definition of M(n)

R2 v1 2026-06-22T10:05:30.897Z