Division Algebra Subfields Introduced by an Indeterminate

✍ Scribed by Eric S. Brussel

• Book ID: 102572280
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 409 KB
• Volume: 188
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.6848

✦ Synopsis

Introduction.

1. Background and notation.

2. Totally ramified field extensions.

3. Existence of totally ramified subfields.

4. Exact sequences and group actions.

5. Subfields and splitting fields, general case.

6. Subfields and splitting fields, semiramified case. 7. F absolutely stable. 8. Residue field a q-adic field. 9. Residue field a number field.