ODT - THESIS TOPIC: László Pyber: Fast growth in finite ...


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Thesis topic proposal

Fast growth in finite and infinite groups

THESIS TOPIC PROPOSAL

Institute: Eötvös Loránd University, Budapest
mathematics and computing
Doctoral School of Mathematics

Thesis supervisor: László Pyber
Location of studies (in Hungarian): Rényi Alfréd Mathematical Institute of the Hungarian Academy of Sciences
Abbreviation of location of studies: MTA

Description of the research topic:

The theory of approximate groups was initiated by Terence Tao . By a crucial theorem in this new area proved independently by Breuillard-Green-Tao and Pyber-Szabó the powers of generating subsets of finite simple groups of bounded rank grow fast. This Product Theorem has deep consequences on permutation groups , expanders, number theory, random walks and more. It will be extremely interesting to see how general this new phenomenon is. We plan to explore this through considering a number of open problems (small and big).

Required language skills: English
Further requirements:
A good understanding of basic finite group theory.

Number of students who can be accepted: 2

Deadline for application: 2016-05-31

2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).