BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Arindam Biswas (Technion - Israel Institute of Technology)
DTSTART:20200601T153000Z
DTEND:20200601T155500Z
DTSTAMP:20260423T011157Z
UID:CANT2020/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/6/"
 >On minimal complements and co-minimal pairs in groups</a>\nby Arindam Bis
 was (Technion - Israel Institute of Technology) as part of Combinatorial a
 nd additive number theory (CANT 2021)\n\n\nAbstract\nGiven two non-empty s
 ubsets $W\,W'\\subseteq G$ in a group $G$\, the set $W'$ is said \nto be a
  complement to $W$ if $W\\cdot W'=G$ and it is minimal if no proper subset
  of $W'$ is a \ncomplement to $W$. The notion was introduced by Nathanson 
 in the course of his study of natural \narithmetic analogues of the metric
  concept of nets in the setting of the integers.  \nA notion stronger than
  minimal complements is that of a co-minimal pair.  \nA pair of subsets $(
 W\,W')$ is a co-minimal pair if $W\\cdot W' = G$ and $W$ is minimal \nwith
  respect to $W'$ and vice-versa. In this talk we shall mainly concentrate 
 on abelian groups \nand show some recent developments on the existence and
  the non-existence \nof minimal complements and of co-minimal pairs.\n
LOCATION:https://researchseminars.org/talk/CANT2020/6/
END:VEVENT
END:VCALENDAR
