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Topics in Geometric Group Theory

November 05, 2007 to November 09, 2007
Organized By: Noel Brady, Mike Davis, Mark Feighn
 
Parent Programs:
Geometric Group Theory
 
Return to Workshop Description
 

Krull dimension for limit groups

Thursday November 8, 2007

11:30AM - 12:20PM

Speakers:
Larsen Louder

Abstract:

When fields are replaced by free groups, the notion of Krull dimension from
the theory of commutative rings has a natural interpretation as the supremum
of lengths of chains of proper epimorphisms of limit groups beginning with a
free group of fixed rank. I will sketch parts of the proof that it is finite
and give examples of the techniques and some inherent difficulties.
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