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How many subgroups are there in a finite group?

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GRA2 - Groups, representations and applications: new perspectives

Counting the number of subgroups in a finite group has numerous applications, ranging from enumerating certain classes of finite graphs (up to isomorphism), to counting how many isomorphism classes of finite groups there are of a given order. In this talk, I will discuss the history behind the question; why it is important; and what we currently know.

This talk is part of the Isaac Newton Institute Seminar Series series.

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