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SUMMARY:Giles Gardam (University of Münster)
DTSTART:20210708T150000Z
DTEND:20210708T160000Z
DTSTAMP:20260423T021324Z
UID:GOThIC/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOThIC/34/">
 Kaplansky's conjectures</a>\nby Giles Gardam (University of Münster) as p
 art of GOThIC - Ischia Online Group Theory Conference\n\n\nAbstract\nThree
  conjectures on group rings of torsion-free groups are commonly attributed
  to Kaplansky\, namely the unit\, zero divisor and idempotent conjectures.
  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 th
 eir relationships to each other and to other conjectures and group propert
 ies\, and present my recent counterexample to the unit conjecture.\n
LOCATION:https://researchseminars.org/talk/GOThIC/34/
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