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SUMMARY:Sunil Chebolu (Illinois State University)
DTSTART:20220127T060000Z
DTEND:20220127T070000Z
DTSTAMP:20260423T024445Z
UID:ARCSIN/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ARCSIN/12/">
 How many units can a commutative ring have?</a>\nby Sunil Chebolu (Illinoi
 s State University) as part of ARCSIN - Algebra\, Representations\, Combin
 atorics and Symmetric functions in INdia\n\n\nAbstract\nLaszlo Fuchs posed
  the following problem in 1960\, which remains open: classify the abelian 
 groups occurring as the group of all units in a commutative ring. In this 
 talk\, I will provide an elementary solution to a simpler\, related proble
 m: find all cardinal numbers occurring as the cardinality of the group of 
 all units in a commutative ring. As a by-product\, we obtain a solution to
  Fuchs' problem for the class of finite abelian p-groups when p is an odd 
 prime.\n
LOCATION:https://researchseminars.org/talk/ARCSIN/12/
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