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Katrin Tent: Defining R and G(R)

Donnerstag, 10.12.2020 10:30 im Raum via Zoom

Mathematik und Informatik

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 under mild restrictions on the ring R that R and G(R) are bi-interpretable. (This holds in particular for any field k.) 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.



Angelegt am Montag, 23.11.2020 11:27 von pfeifer
Geändert am Montag, 23.11.2020 11:27 von pfeifer
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