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Seminar by Abhay Soman

Monday, November 4, 2019 - 11:35 to 12:35
Seminar Room, School of Mathematical Sciences
Abhay Soman
ISI Bangalore
On triviality of the reduced Whitehead group
Let $D$ be a central division algebra over a field $E$. Denote by $D^*$ the nonzero elements of $D$. The reduced Whitehead group of $D$, $SK_1(D):=\{x\in D:{\rm Nrd}_D(x)=1 \}\big/[D^*,D^*]$. Aim of the talk is to show triviality of this group over certain Henselian valued fields of cohomological dimension at most $3$. This talk is based on my recent publication.

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