University of Birmingham > Talks@bham > Algebra seminar  > Defining R and G( R )

Defining R and G( R )

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If you have a question about this talk, please contact Lewis Topley.

In joint work with Segal we use the fact that for Chevalley groups G( R ) of rank at least 2 over a ring R the root subgroups are (nearly always) the double centralizer of a corresponding root element to show for many important classes of rings and fields that R and G( R ) are bi-interpretable. For such groups it then follows that the group G( R ) is finitely axiomatizable in the appropriate class of groups provided R is finitely axiomatizable in the corresponding class of rings.

This talk is part of the Algebra seminar series.

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