Examples of finite free complexes of small rank and small homology

Authors

Srikanth B. Iyengar, University of UtahFollow
Mark E. Walker, University of Nebraska - LincolnFollow

Date of this Version

2-17-2018

Citation

2018 by Institut Mittag-Leffler. All rights reserved

Comments

Acta Math., 221 (2018), 143{158 DOI: 10.4310/ACTA.2018.v221.n1.a4

Abstract

In this paper we construct counterexamples to five related conjectures concerning the rank an homology of finite free complexes over commuatitive noetherian rings, and, in particular, over group algebras of elementary abelian groups.