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Michael Giudici (University of Western Australia)
Thursday 23 January 2020, 16:00-17:00
Automorphism orbits of groups and the Monster
â ī¸ Important: GRA - Groups, representations and applications: new perspectives
- đ¤ Speaker: Michael Giudici (University of Western Australia)
- đ Date & Time: Thursday 23 January 2020, 16:00 - 17:00
- đ Venue: Seminar Room 2, Newton Institute
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Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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