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Location: | SLMath: Online/Virtual |
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Composita Of Symmetric Extensions Of Q
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Let Qsymm be the compositum of all finite Galois extensions of Q with Galois group a symmetric group. Then the theory of Qsymm in the first order language of rings is primitive recursively decidable. Moreover, the set of finite groups that can be realized as Galois groups over Q in Qsymm as well as the set of finite groups that occur as Galois groups over Qsymm are primitive recursive subsets of the set of all finite groups.
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Composita Of Symmetric Extensions Of Q
H.264 Video | 25235_28785_8639_Composita_of_Symmetric_Extensions_of_Q.mp4 |