University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Generating finite classical groups by elements with large fixed point spaces

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Generating finite classical groups by elements with large fixed point spaces

Download to your calendar using vCal

  • UserCheryl Praeger, University of Western Australia
  • ClockWednesday 12 March 2014, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact David Stewart .

Constructing standard generators for finite classical groups in even characteristic seemed much more difficult than the same problem in odd characteristic, where ingenious methods using involution centralisers were available. Innovative new procedures developed by Neunhoeffer and Seress, and by Dietrich, Leedham-Green, Lubeck and O’Brien seem to have solved the problem: justifying these new methods requires proof that the groups can be generated efficiently by elements with large fixed point spaces.

I will talk about a problem which lies at the heart of analysis: determine the probability of generating a finite 2n-dimensional classical group by two random conjugates of a `good element’ t, namely |t| is divisible by a primitive prime divisor of q^n-1 for the relevant field order q, and t fixes pointwise an n-space. The problem had some strange “twists and turns”.

This talk is part of the Algebra and Representation Theory Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Cambridge Judge Business School, Trumpington St, CB2 1AG https://meet.google.com/cwu-sumr-qzq King's College Global Health Seminars

Other talks

Max Perutz Lecture - Title TBC Illegal trade in the North Atlantic The elephant in the room: Machine Learning directly into physical models Title to be confirmed Tea and Coffee Break Group Work
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity