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Kummer subspaces of Central Simple Algebras

Nhan Nguyen*, University of Montana
Talk Abstract: 
Let $F$ be a field containing a primitive $d^{th}$ root of unity $\rho$ and char$(F)\not|d$. Let $A$ be the tensor product of $n$ cyclic $F$-algebras. An element $v\in A$ is Kummer if $v^{d}\in F$. A subspace of $A$ is Kummer if every element is Kummer. Kummer spaces have been used to bound the symbol length of a central simple algebras. In this talk we will discuss some open problems concerning Kummer subspaces
Talk Subject: 
Talk Type: 
Oral Presentation
Time Slot: 
Saturday, April 2, 2016 - 15:05
Room Number: 
STAG 261