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SUMMARY:Benjamin Sambale (Leibniz Universität Hannover)
DTSTART:20231010T073000Z
DTEND:20231010T083000Z
DTSTAMP:20260423T052545Z
UID:OISTRTS/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/49/"
 >Groups of p-central type</a>\nby Benjamin Sambale (Leibniz Universität H
 annover) as part of OIST representation theory seminar\n\n\nAbstract\nA fi
 nite group <span class="math-tex">\\(G\\)</span> with center <span class="
 math-tex">\\(Z\\)</span> is of central type if there exists an irreducible
  character <span class="math-tex">\\(\\chi\\)</span> such that <span class
 ="math-tex">\\(\\chi(1)^2=|G:Z|\\)</span>. Howlett–Isaacs have shown tha
 t such groups are solvable. A corresponding theorem for <span class="math-
 tex">\\(p\\)</span>-Brauer characters was proved by Navarro–Späth–Tie
 p under the assumption that&nbsp\;<span class="math-tex">\\(p\\ne 5\\)</sp
 an>. I have shown that there are no exceptions for <span class="math-tex">
 \\(p=5\\)</span>. Moreover\, I give some applications to&nbsp\;<span class
 ="math-tex">\\(p\\)</span>-blocks with a unique Brauer character.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/49/
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