The purpose of these notes is to give a self-contained introduction to Witt vectors. We cover
both the classical p-typical Witt vectors of Teichmüller and Witt [4] and the generalized or big …

This is an introduction to the theory of Witt vectors. It includes a construction of the Witt rings,
the Frobenius and Verschiebung endomorphisms, the canonical map from W to W^ 2 (its …

Abstract The Witt-Burnside ring, as contrived by A. Dress and C. Siebeneicher (Adv. in Math.
70, 1988, 87-132), is a generalisation of the ring of Witt vectors. In this paper, we …

I discuss the ring of (big or universal) Witt vectors (A), of a commutative ring A. The ring (A),
or variants of it, arises in several ways in Commutative Algebra, Algebraic Number Theory …

I will describe a functor A↦→ W (A) from the category of commutative rings to itself. The ring
W (A) of 'Witt vectors' over A has many applications (to algebraic geometry, local rings, etc.) …

Ernst Witt (1911-1991) was one of the most ingenious mathematicians of his century and
has decisively shaped the development of various mathematical fields like algebra, number …

The Witt–Burnside ring of a profinite group G over a commutative ring A generalizes both the
Burnside ring of virtual G-sets and the rings of universal and p-typical Witt vectors over A …

Witt vectors. Part 1 Page 1 Michiel Hazewinkel 1 CWI Direct line: +31-20-5924204 POBox
94079 Secretary: +31-20-5924233 1090GB Amsterdam Fax: +31-20-5924166 E-mail: mich@cwi.nl …

Let us concentrate further on finite separable field extensions: For a field K the category of
finite, commutative separable X-algebras is (by Galois!) dual to the category G of finite G …

In contradiction to Stigler's law of eponymy [S], Witt vectors were apparently invented by
Ernst Witt [W]. The original definition depended on a rather non-trivial existence theorem …