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Department of Pure Mathematics and Mathematical Statistics

Kaplansky made various related conjectures about group rings, especially for torsion-free groups. For example, the zero divisor conjecture predicts that if K is a field and G is a torsion-free group, then the group ring K[G] has no zero divisors. I will survey what is known about the conjectures, including their relationships to each other and to other group properties such as orderability, and present some recent progress.

Further information

Time:

26Feb
Feb 26th 2021
13:45 to 14:45

Venue:

Zoom https://maths-cam-ac-uk.zoom.us/j/95208706709

Speaker:

Giles Gardam (University of M√ľnster)

Series:

Geometric Group Theory (GGT) Seminar