Mini-Workshop: Growth and Expansion in Groups
Jitendra Bajpai
Christian-Albrechts-Universität Kiel, Kiel, GermanyDaniele Dona
Hungarian Academy of Sciences, Budapest, Hungary
Abstract
The aim of the workshop was to give a panoramic view of the main lines of research on various aspects of growth and expansion in finite groups. The main topics included: diameter bounds for Cayley graphs of alternating and classical groups, with results for generating sets that can be arbitrary, random, or containing special elements; constructions of expander families of finite simple groups, with the use of property (T); and character bounds for finite simple groups, yielding applications to word map problems and random walks on Cayley graphs. A series of smaller topics explored connections and similarities to different problems in group theory.
Cite this article
Jitendra Bajpai, Daniele Dona, Mini-Workshop: Growth and Expansion in Groups. Oberwolfach Rep. 21 (2024), no. 2, pp. 1005–1040
DOI 10.4171/OWR/2024/17