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SUMMARY:Automorphism orbits of groups and the Monster - Michael Giudici (U
 niversity of Western Australia)
DTSTART:20200123T160000Z
DTEND:20200123T170000Z
UID:TALK137482@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The order of an element of a group is a natural invariant of a
 n automorphism.&nbsp\; In 1992\, Zhang classified all finite groups such t
 hat for all integers $k$ the&nbsp\; automorphism group acts transitively o
 n the set of all elements of order $k$. Such groups are called AT-groups. 
 In this talk\, I will discuss recent joint work with Alexander Bors and Ch
 eryl Praeger that investigates two measures of how close a group is to bei
 ng an AT-group. This includes a new interesting characterisation of the Mo
 nster simple group.<br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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