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SUMMARY:Bim Gustavsson (University of Birmingham)
DTSTART:20260609T054500Z
DTEND:20260609T064500Z
DTSTAMP:20260602T195338Z
UID:OISTRTS/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/78/"
 >Sylow branching coefficients and counting linear constituents</a>\nby Bim
  Gustavsson (University of Birmingham) as part of OIST representation theo
 ry seminar\n\n\nAbstract\nFor a natural number $n$\, let $P_n$ denote a Sy
 low $p$-subgroup of the symmetric group $S_n$. In 2017 E. Giannelli and G.
  Navarro proved that if $\\chi$ is an irreducible character of $S_n$ with 
 degree divisible by $p$\, then the restriction of $\\chi$ to $P_n$ has at 
 least $p$ different linear constituents. In this talk we will present the 
 result that classifies the set of irreducible characters of the symmetric 
 groups whose restriction to $P_n$ have at most $p$ linear constituents whe
 n $p=2$. We will also for mention the multiplicity of these linear charact
 ers for certain families of irreducible characters of $S_n$.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/78/
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