BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alfred Geroldinger (University of Graz\, Austria)
DTSTART:20200601T150000Z
DTEND:20200601T152500Z
DTSTAMP:20260423T011159Z
UID:CANT2020/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/5/"
 >Zero-sum sequences over finite abelian groups and their sets of lengths</
 a>\nby Alfred Geroldinger (University of Graz\, Austria) as part of Combin
 atorial and additive number theory (CANT 2021)\n\n\nAbstract\nLet $G$ be a
 n additively written abelian group.  \nA (finite unordered) sequence $S = 
 g_1 \\ldots g_{\\ell}$ of terms from $G$ (with repetition allowed)\n is sa
 id to be a \\emph{zero-sum sequence} if $g_1 + \\ldots + g_{\\ell} = 0$. \
 n Every zero-sum sequence $S$ can be factored into minimal zero-sum sequen
 ces\, \n say $S = S_1 \\ldots S_k$. Then $k$ is called a factorization len
 gth of $S$ and  \n $\\mathsf L (S) \\subset \\mathbb N$ denotes the set of
  all factorization lengths of $S$.  \n We consider the system $\\mathcal L
  (G) = \\big\\{ \\mathsf L (S) \\colon S \\  \\text{is a zero-sum sequence
  over $G$} \\big\\}$ of all sets of lengths.\n
LOCATION:https://researchseminars.org/talk/CANT2020/5/
END:VEVENT
END:VCALENDAR