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Thesis topic proposal
 
Local automorphisms

THESIS TOPIC PROPOSAL

Institute: University of Szeged
mathematics and computing
Mathematics Doctoral School

Thesis supervisor: Lajos Molnár
Location of studies (in Hungarian): SZTE Matematika- és Számítástudományok Doktori Iskola
Abbreviation of location of studies: MatDI


Description of the research topic:

A transformation on a mathematical structure endowed with binary operation(s) is called a local
automorphism (more precisely, a 2-local automorphism), if its values at any two points of their
domain coincide with the values of an automorphism at those points. In several structures
consisting of linear operators the interesting phenomenon occurs that their local automorphisms
are necessarily (global) automorphisms. In such cases we can say that the automorphisms of
those structures are completely determined by their local actions on two point subsets.
The aim of the doctoral work is to overview the related knowledge available in the literature
and then to do research along this line and obtain new results that would contribute to the area.

Number of students who can be accepted: 1

Deadline for application: 2017-09-01


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).

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )