MATH Seminar
| Title: Galois group actions over the integers |
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| Colloquium: Number theory |
| Speaker: George Pappas of Michigan State University |
| Contact: Skip Garibaldi, skip@mathcs.emory.edu |
| Date: 2010-01-26 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: According to the ``normal basis theorem", if $L/K$ is a Galois extension of fields with finite Galois group $G$, then there is an element $x$ in $L$, such that the collection of all its conjugates, $g(x)$, for $g$ in $G$, forms a basis of $L$ as a vector space over $K$. This talk will describe a theme of ``integral" extensions of this classical fact to situations where a finite group acts on a system of polynomial equations with integer coefficients, i.e., when a finite group acts on a ``scheme over $\mathbf{Z}$". |
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