%0 Journal Article
%T Cochain sequences and the Quillen category of a coclass family
%A Bettina Eick
%A David J. Green
%J Mathematics
%D 2015
%I arXiv
%X We introduce the concept of an infinite cochain sequence and initiate a theory of homological algebra for them. We show how these sequences simplify and improve the construction of infinite coclass families (as introduced by Eick and Leedham-Green) and how they apply in proving that almost all groups in such a family have equivalent Quillen categories. We also include some examples of infinite families of p-groups from different coclass families that have equivalent Quillen categories.
%U http://arxiv.org/abs/1505.01701v1