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arXiv · 1505.01701

Cochain sequences and the Quillen category of a coclass family

Bettina Eick·David J. Green
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Abstract

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.

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Bettina Eick, David J. Green. 2015-05-07. Cochain sequences and the Quillen category of a coclass family. https://doi.org/10.1017/s1446788716000185

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