University of Birmingham > Talks@bham > Algebra seminar  > Commuting classes of matrices with entries from a finite field

Commuting classes of matrices with entries from a finite field

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This talk addresses the problem of deciding whether two classes of similar matrices contain elements which commute. I shall indicate how, over a finite field, this problem reduces (up to a field extension) to the case of nilpotent classes. The nilpotent case has been studied extensively, but chiefly over algebraically closed fields, particularly in characteristic 0. I shall describe what is known about it over various fields, and mention some open questions which have recently attracted attention.

This talk is part of the Algebra seminar series.

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