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

2022/11/30 by Carlson, Jon F. · 1 citation
#13D22 #20C20 #20J06 #Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2211.17110

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.

Cited by

• Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two

Related

• Examples of finite free complexes of small rank and small homology
• Examples of finite free complexes of small rank and small homology
• Varieties of Complexes of Fixed Rank
• Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two
• Homology theories and Gorenstein dimensions for complexes