## Prüfer group In the Prüfer $p$-group every element has precisely $p$ $p$-th roots. It is unique up to isomorphism. ## Tate module $End(Pr$ Prüfer $p$-group $p$-group [[Sylow's theorem|Sylow]] $p$-subgroup of $Q/Z$ consisting of those elements whose order is a power of $p$: $Z(p^\infty)=Z[1/p]/Z$ ## Frobenius automorphism (relative Frobenius lifts some problems with the plain frobenius of shemes) ##Frobenius element --- <http://mathoverflow.net/questions/512/what-is-interesting-useful-about-big-witt-vectors> <http://mathoverflow.net/questions/58/is-there-a-universal-property-for-witt-vectors> <http://www.neverendingbooks.org/index.php/big-witt-vectors-for-everyone-12.html> <http://www.noncommutative.org/index.php/cartiers-big-witt-functor.html> What are Witt vectors: <http://chromotopy.org/?p=444> --- ## Witt vectors Is it right to say that this is a cohomological invariant? category: General Introduction --- ## Witt vectors See [Hesselholt](http://www.math.uiuc.edu/K-theory/0135) category: Online References --- ## Witt vectors [MathSciNet](http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&s7=%22Witt+vectors%22&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All) [Google Scholar](http://scholar.google.co.uk/scholar?q=%22Witt+vectors%22&hl=en&lr=&btnG=Search) [Google](http://www.google.com/search?hl=en&q=%22Witt+vectors%22&btnG=Search) [arXiv: Experimental full text search](http://search.arxiv.org:8081/?query=%22Witt+vectors%22&in=) [arXiv: Abstract search](http://front.math.ucdavis.edu/search?a=&t=&q=%22Witt+vectors%22&c=&n=25&s=Abstracts) category: Search results --- ## Witt vectors KT (K-theory), NCG (Algebra and noncommutative geometry), AG (Algebraic geometry)? category: World [private] --- ## Witt vectors Charp category: Labels [private] nLab page on [[nlab:Witt vectors]]