School of Mathematics and Statistics

Postgraduate research

Research being undertaken by our current postgraduates:

Contact

Saul Freedman


Start date

Feb 2017

Submission date

Saul Freedman

Saul Freedman profile photo

Thesis

Universal p-groups and p-groups related to exceptional groups of Lie type

Summary

The main aim of my research is to construct abstract p-groups that are related in a particular way to certain groups of matrices, where a p-group is a group whose order is a power of a prime p. More specifically, for each exceptional group of Lie type H defined over a field of odd prime order, I aim to construct a p-group P such that the group induced by the automorphism group of P on the Frattini quotient of P is a group related to H.

I also aim to study universal p-groups, which are the largest p-groups satisfying certain quantitative properties (namely, having a given nilpotency class, a given rank, and exponent p).

Why my research is important

My research will further the study of p-groups and exceptional groups of Lie type, which are very important in the context of finite group theory.

Funding

  • Hackett Postgraduate Research Scholarship


Statistics clinic

Assistance in statistics is available for Postgraduates students by research at the UWA Centre for Applied Statistics.

 

School of Mathematics and Statistics

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Monday, 16 June, 2014 2:41 PM

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