The ranks of homology of complexes of projective modules over finite groups

Key Points

Key points are not available for this paper at this time.

Abstract

We show that counterexamples of Iyengar and Walker to the algebraic version of Gunnar Carlsson’s conjecture on the rank of the homology of a free complex can be extended to examples over any finite group with many choices of the complex.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper

Cite This Study

Jon Carlson (Thu,) studied this question.

synapsesocial.com/papers/68e5e0e7b6db6435875750e8 https://doi.org/https://doi.org/10.1090/bproc/153

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Free (ℤ/2)k-actions and a problem in commutative algebra1986 · 10 citations
2Examples of finite free complexes of small rank and small homology2018 · 4 citations
3Projective Resolutions and Poincare Duality Complexes1994 · 7 citations
4Projective resolutions and Poincaré duality complexes1994 · 65 citations
5Multiplicativity and nonrealizable equivariant chain complexes2022 · 2 citations

Mark Helpful

Bookmark

Relay

View Full Paper