Abstract/Details

On the structure of Witt -Burnside rings attached to pro-p groups

Miller, Lance Edward. 
 University of Connecticut ProQuest Dissertations Publishing,  2010. 3420179.

Abstract (summary)

The classical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a functorial construction which takes perfect fields k of characteristic p to p-adically complete discrete valuation rings of characteristic 0 with residue field k and are universal in that sense. Dress and Siebeneicher generalized this construction by producing a functor WG attached to any profinite group G. The classical case corresponds to the choice G = Zp. In this thesis we examine the ring structure of some examples of W G(k) where G is a pro- p group and k is a field of characteristic p. We will show that the structure is surprisingly more complicated than the classical case.

Indexing (details)


Subject
Mathematics;
Computer science
Classification
0405: Mathematics
0984: Computer science
Identifier / keyword
Applied sciences; Pure sciences; Classical vector; Functorial construction; Number theory; Pro-p groups; Ring structure; Witt-Burnside rings
Title
On the structure of Witt -Burnside rings attached to pro-p groups
Author
Miller, Lance Edward
Number of pages
137
Degree date
2010
School code
0056
Source
DAI-B 71/09, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
978-1-124-15778-8
Advisor
Conrad, Keith
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3420179
ProQuest document ID
748322422
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/748322422/abstract