## Rocky Mountain Journal of Mathematics

- Rocky Mountain J. Math.
- Volume 49, Number 2 (2019), 487-492.

### The ramification filtration in certain $p$-extensions

#### Abstract

We show that the recent result of Castañeda and Wu regarding the ramification filtration in certain $p$-extensions of function fields of prime characteristic $p$ is equally valid over local fields of mixed characteristic $(0,p)$. Apart from being applicable to both equicharacteristic and mixed characteristic cases, our method is local, conceptual, natural, and shorter.

#### Article information

**Source**

Rocky Mountain J. Math., Volume 49, Number 2 (2019), 487-492.

**Dates**

Received: 15 June 2018

Revised: 18 July 2018

First available in Project Euclid: 23 June 2019

**Permanent link to this document**

https://projecteuclid.org/euclid.rmjm/1561318388

**Digital Object Identifier**

doi:10.1216/RMJ-2019-49-2-487

**Mathematical Reviews number (MathSciNet)**

MR3973235

**Zentralblatt MATH identifier**

07079979

**Subjects**

Primary: 11S15: Ramification and extension theory

**Keywords**

local fields abelian extensions of exponent $p$ ramification filtration upper ramification breaks

#### Citation

Dalawat, Chandan Singh. The ramification filtration in certain $p$-extensions. Rocky Mountain J. Math. 49 (2019), no. 2, 487--492. doi:10.1216/RMJ-2019-49-2-487. https://projecteuclid.org/euclid.rmjm/1561318388