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The
complex polynomials P(x) with \mathop{\rm Gal}(P(x)-t)
\cong M_{23}
Noam D. Elkies |
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Vol. 1 (2013), 359–367
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Abstract |
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We find the polynomials of degree such that the Galois group of over is the Mathieu group . This completes the computation of polyomials for which the Galois group of is among the exceptional groups listed by Müller. |
Keywords
Mathieu group M_{23}, Galois groups, Chebotarev density
theorem
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Mathematical Subject Classification 2010
Primary: 12F12
Secondary: 20D08
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Milestones
Published: 14 November 2013
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Authors |
| Noam D. Elkies | |
| Department of Mathematics Harvard University Cambridge, MA 02138 United States |
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