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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Automorphism orbits of groups and the Monster

## Automorphism orbits of groups and the MonsterAdd to your list(s) Download to your calendar using vCal - Michael Giudici (University of Western Australia)
- Thursday 23 January 2020, 16:00-17:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact INI IT. GRA - Groups, representations and applications: new perspectives The order of an element of a group is a natural invariant of an automorphism. In 1992, Zhang classified all finite groups such that for all integers $k$ the automorphism group acts transitively on 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 Cheryl Praeger that investigates two measures of how close a group is to being an AT-group. This includes a new interesting characterisation of the Monster simple group. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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