Geodesic
On the structure of Witt–Burnside rings attached to pro-$p$ groups
Documenta mathematica, Tome 19 (2014), pp. 1291-1316
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The p-typical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a functorial construction that takes perfect fields k of prime characteristic p>0 to p-adically complete discrete valuation rings of characteristic 0 with residue field k and are universal in that sense. A. Dress and C. Siebeneicher generalized this construction by producing a functor WG​ attached to any profinite group G. The p-typical Witt vectors arise as those attached to the p-adic integers. Here we examine the ring structure of WG​(k) for several examples of pro-p groups G and fields k of characteristic p. We will show that the structure is surprisingly more complicated than the p-typical case. 
@article{10_4171_dm_481,
     author = {Lance Edward Miller},
     title = {On the structure of {Witt{\textendash}Burnside} rings attached to pro-$p$ groups},
     journal = {Documenta mathematica},
     pages = {1291--1316},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/481},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/481/}
}
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Lance Edward Miller. On the structure of Witt–Burnside rings attached to pro-$p$ groups. Documenta mathematica, Tome 19 (2014), pp. 1291-1316. doi: 10.4171/dm/481

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