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Division algebras with no common subfields

โœ Scribed by Bill Jacob; Adrian R. Wadsworth


Book ID
112892154
Publisher
The Hebrew University Magnes Press
Year
1993
Tongue
English
Weight
342 KB
Volume
83
Category
Article
ISSN
0021-2172

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If G is a finite group and k is a field, then G is k-admissible if there exists a G-Galois extension Lrk such that L is a maximal subfield of a k-division algebra. ลฝ . We prove that PSL 2, 7 is k-admissible for any number field which either fails to ' contain y1 or which has two primes lying over t

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## 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