University of Birmingham > Talks@bham > Algebra seminar  > Crowns in finite groups: Theory and applications

Crowns in finite groups: Theory and applications

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The notion of a \emph{crown} in a finite group was introduced by Gasch\”{u}tz in the 1960s, and later developed by Dalla Volta and Lucchini as a tool to study minimal generation and the presentation rank in finite and profinite groups. In this talk, we will give an introduction to the theory, and detail some recent applications to generation and enumeration problems in certain classes of finite groups. One application is ongoing joint work with Colva Roney-Dougal, while another is joint work with Andrea Lucchini and Claude Marion.

This talk is part of the Algebra seminar series.

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