Division Algebras with PSL(2, q)-Ga
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Elizabeth S Allman; Murray M Schacher
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Article
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2001
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Elsevier Science
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English
β 104 KB
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. Ε½ . 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