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Galois Module Structure of Lubin-Tate Modules / Sebastian Tomaskovic-Moore.
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View online- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Tomaskovic-Moore, Sebastian, author.
- Language:
- English
- Subjects (All):
- Mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Local Subjects:
- Mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Genre:
- Academic theses.
- Physical Description:
- 1 online resource (59 pages)
- Contained In:
- Dissertation Abstracts International 79-01B(E).
- Place of Publication:
- [Philadelphia, Pennsylvania]: University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2017.
- Language Note:
- English
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- Let L/K be a finite, Galois extension of local or global fields. In the classical setting of additive Galois modules, the ring of integers OL of L is studied as a module for the group ring OKG, where G is the Galois group of L/K. When K is a p-adic field, we also find a structure of OKG module when we replace OL with the group of points in OL of a Lubin-Tate formal group defined over K. For this new Galois module we find an analogue of the normal basis theorem. When K is a proper unramified extension of Qp , we show that some eigenspaces for the Teichmuller character are not free. We also adapt certain cases of E. Noether's result on normal integral bases for tame extensions. Finally, for wild extensions we define a version of Leopoldt's associated order and demonstrate in a specific case that it is strictly larger than the integral group ring.
- Notes:
- Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
- Advisors: Ted Chinburg; Committee members: Ching-Li Chai; Ted Chinburg; Philip Gressman.
- Department: Mathematics.
- Ph.D. University of Pennsylvania 2017.
- Local Notes:
- School code: 0175
- ISBN:
- 9780355129953
- Access Restriction:
- Restricted for use by site license.
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