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Number Theory
Student Seminar
Invites you
to our next gathering
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Time: Place: |
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Galois groups of p-class towers
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Speaker: |
Michael Bush (
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| Abstract: |
A computational method for obtaining the Galois group associated to the Hilbert p-class tower of a number field K will be described together with results for various imaginary quadratic fields K when p = 2 or 3. If time permits we will discuss some exciting new developments regarding the structure of Galois groups of maximal p-extensions of $\mathbb{Q}$ where ramification at a finite set of primes (excluding p) is allowed. |
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