# Graduate Seminar Series

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Wed., Nov. 23, 2022 3:30 p.m.
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Location: CL 305 and Live Stream
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**Speaker**: Alexander Montoya Ocampo

**Title:** The Macdonald Group (494 kB)

**Abstract:**

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:**