Abstract
Let L be a finite Galois extension of a global field F. It is shown that if the Galois group G = Gal(L/F) satisfies a certain condition, then L is a maximal commutative subfield of some F-division algebra if and only if the intermediate field corresponding to the Frattini subgroup of G is also a maximal commutative subfield of some F-division algebra. In particular this condition holds if G is a supersolvable group.
Original language | English |
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Article number | BF02764067 |
Pages (from-to) | 1-10 |
Number of pages | 10 |
Journal | Israel Journal of Mathematics |
Volume | 130 |
DOIs | |
State | Published - 2002 |
ASJC Scopus subject areas
- General Mathematics