The ranks of homology of complexes of projective modules over finite groups
Author:
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.
Funder
Simons Foundation
Publisher
American Mathematical Society (AMS)
Link
https://www.ams.org/bproc/2024-11-36/S2330-1511-2024-00153-7/S2330-1511-2024-00153-7.pdf
Reference4 articles.
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2. Free (𝑍/2)^{𝑘}-actions and a problem in commutative algebra;Carlsson, Gunnar,1986
3. Examples of finite free complexes of small rank and small homology;Iyengar, Srikanth B.;Acta Math.,2018
4. Multiplicativity and nonrealizable equivariant chain complexes;Rüping, Henrik;J. Pure Appl. Algebra,2022
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