PSL 2(11) is Admissible for all Number Fields

Walter Feit

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 295-299 from Springer

Abstract: Abstract Let K be a field and let G be a finite group. Then G is K-admissible if there exists a Galois extension L of K with Galois group G such that L is a maximal subfield of a central division algebra D over K. In [1] it was shown that PSL 2(11) is Q admissible. As is mentioned there, I was able to simplify their argument and also show that if K is an algebraic number field in which the prime (2) has at least two extensions then K is PSL 2(11)-admissible.

Date: 2004
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DOI: 10.1007/978-3-642-18487-1_18

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