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UID:33e6faf65624bba3b7354a3ab831fa9f
CATEGORIES:Algebra Seminar
CREATED:20260403T142114
SUMMARY:Fixed points in permutation groups
LOCATION:Hill 705
DESCRIPTION:I will discuss a recent result obtained in joint work with Robert Guralnick
  and Martin Liebeck: If G is a finite primitive non-regular permutation gro
 up of degree n, then G contains an element fixing at least one and at most 
 n^{1/3} points. This confirms an old conjecture of Peter Neumann. The case 
 where G is affine was addressed by Guralnick and Malle, and our work focuse
 s on the case where G is not affine.\n
X-ALT-DESC;FMTTYPE=text/html:<p>I will discuss a recent result obtained in joint work with Robert Guraln
 ick and Martin Liebeck: If G is a finite primitive non-regular permutation 
 group of degree n, then G contains an element fixing at least one and at mo
 st n^{1/3} points. This confirms an old conjecture of Peter Neumann. The ca
 se where G is affine was addressed by Guralnick and Malle, and our work foc
 uses on the case where G is not affine.</p>
CONTACT:Daniele Garzoni - University of Southern California
DTSTAMP:20260825T072754
DTSTART;TZID=America/New_York:20260415T140000
DTEND;TZID=America/New_York:20260415T150000
SEQUENCE:0
TRANSP:OPAQUE
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