Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Dear Dalawat, thanks for your answer. So in this case, the different of a totally ramified p-extension can be arbitarily small, (I guess it doesn't happen in the mixed character case, say, $\mathbf{Z}_p$ ), and the smaller it becomes, (or the corresponding \textbf{level} grows?), this extension is more close to an inseparable extension?
