p-Jets of Finite Algebras, II: p-Typical Witt Rings

We study the structure of the $p$-jet spaces of the $p$-typical Witt rings of the $p$-adics. We also study the $p$-jets of the comonad map. These data can be viewed as an arithmetic analogue, for the ring $Z$, of the Lie groupoid of the line and hence as an infinitesimal version of the Galois group of $\ Q$ over «$F_1$".

2010 Mathematics Subject Classification: 13 K 05

Keywords and Phrases: Witt vectors

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