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Graduate Seminar Series

Wed., Nov. 23, 2022 3:30 p.m.

Location: CL 305 and Live Stream

Speaker: Alexander Montoya Ocampo

Title: The Macdonald Group (494 kB) PDF file


According to Johnson (in his famous book Presentations of Groups), an interesting group is a finite group that admits a finite presentation with as many generators as relations. A more widely used synonym is finite group with deficiency zero. These are elusive groups, and few of them are known. A family of such groups was found by I. D. Macdonald. His groups are finite (in most cases) and can be defined by two generators and two relations. In this talk I will give a brief overview of interesting groups, their history, as well as a discussion of some of the properties of the group Macdonald found.

Live Stream: