Title: Nilpotency in the homotopy of simplicial commutative algebras
Authors: James M Turner
Address: Calvin College
E-mail: jturner@calvin.edu
ArXiv id. no.: math.AT/0201064
MSC-class: 13D03, 13D05, 13H10, 18G30, 55S99

Abstract: In this paper, we study simplicial commutative algebras with finite
Andr\'e-Quillen homology. Here we restrict our focus to simplicial algebras
having characteristic 2. Our aim is to find a generalization of results
established by the author. Our goal is to replace the finiteness condition on
homotopy with a weaker condition expressed in terms of nilpotency for the
action of the homotopy operations. Coupled with the finiteness assumption on
Andr\'e-Quillen homology, this nilpotency condition provides a way to bound the
height at which the homology vanishes. As a consequence, we establish a special
case of an open conjecture of Quillen.