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Razširitve Burnisovega rezutata / Extensions of a Result of Burnside

Naziv

Tittle

Razširitve Burnisovega rezutata / Extensions of a Result of Burnside

Akronim

Acronim

BI-RU/19-20-027

Opis

Description

(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.

Trajanje

Duration

01/01/2019 - 31/12/2021

Vodja projekta

Project Leader

dr. Edward Tauscher Dobson

Sodelujoče organizacije

Participating organizations

Sobolev Institute of Mathematics

Oddelek

Department

Oddelek za matematiko IAM
University of Primorska

Andrej Marušič Institute
UP IAM

Muzejski trg 2
6000 Koper
Slovenia

tel.: +386 (0)5 611 75 91
fax.: +386 (0)5 611 75 92
e-mail: info@iam.upr.si
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