Univerza na Primorskem

Intranet

NameRazširitve Burnisovega rezutata / Extensions of a Result of Burnside
AcronymBI-RU/19-20-027
TypeProjekt ARRS / Programska skupina
CategoryARRS
ARRS ClassificationProjekti bilaterale
CountryRusija
Duration1. 1. 2019 – 31. 12. 2021
Leaddr. Edward Tauscher Dobson
Participating OrganisationsSobolev Institute of Mathematics

(SI) V okviru predlaganega projekta bomo obravnavali tudi tranzitivne grupe, katerih stopnje so praštevilske potence, katerih minimalne podgrupe so izomorfne grupam, ki so “blizu” cikličnim grupam, kot na primer ZpxZpk, ali splošnejše ZpixZpj. Trenutno o celih grupah avtomorfizmov točkovno tranzitivnih grafov, ki vsebujejo regularne podgrupe izomorfne tem grupam, ni znanega skoraj nič. Torej kakršnikoli rezultati Burnsidovega tipa so zelo dobrodošli.
(EN) In the framework of the proposed project, we will also consider transitive groups whose degrees are prime powers, whose minimal subgroups are isomorphic to groups that are “close” to cyclic groups, such as ZpxZpk, or more generally ZpixZpj. At present, almost nothing is known about entire groups of automorphisms of pointwise transitive graphs containing regular subgroups isomorphic to these groups. So any Burnside-type results are very welcome.