MCCABE, KEITH,THOMAS (2016) On -extensions of -adic fields. Doctoral thesis, Durham University.
Let be an odd prime, and let be a -adic field containing a primitive -th root of unity. Let be the maximal -extension of with Galois group of period and nilpotence class . Recent results of Abrashkin describe the ramification filtration , and can be used to recover the structure of .
The group is described in terms of an -Lie algebra due to the classical equivalence of categories of -Lie algebras of nilpotent class , and -groups of period of the same nilpotent class. In this thesis we generalise explicit calculations of Abrashkin related to the structure of .
|Item Type:||Thesis (Doctoral)|
|Award:||Doctor of Philosophy|
|Keywords:||Local fields; ramification filtration;|
|Faculty and Department:||Faculty of Science > Mathematical Sciences, Department of|
|Copyright:||Copyright of this thesis is held by the author|
|Deposited On:||24 Nov 2016 14:22|