On the K-theory of Z/pn\mathbb{Z}/p^n -- announcement

preprint2022arXivOpen access

Abstract

We announce new methods for using prismatic cohomology to compute the K-groups of Z/pn\mathbb{Z}/p^n and related rings. We use computer algebra methods to compute these K-groups through a large range in specific cases and also obtain explicit formulas for their orders in large degrees.

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