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.
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References
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© 2004 Springer-Verlag Berlin Heidelberg
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Feit, W. (2004). PSL 2(11) is Admissible for all Number Fields. In: Christensen, C., Sathaye, A., Sundaram, G., Bajaj, C. (eds) Algebra, Arithmetic and Geometry with Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18487-1_18
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DOI: https://doi.org/10.1007/978-3-642-18487-1_18
Publisher Name: Springer, Berlin, Heidelberg
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