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Schurove grupe, ločljivi S-kolobarji in uporabi / Schur groups, separable S-rings and application

Naziv

Tittle

Schurove grupe, ločljivi S-kolobarji in uporabi / Schur groups, separable S-rings and application

Akronim

Acronim

BI-RU/14-15-023

Opis

Description

(SI) Cilj našega raziskovanja je globlje razumevanje razreda abelovih Schurovih grup. Preučevali bomo problem ločljivosti cikličnih S-kolobarjev in našli enostaven ter potreben in zadosten pogoj za ločljivost. Naš cilj je opisati ciklične grupe, nad katerimi je vsak S-kolobar ločljiv. Poiskali bomo tudi dobre zgornje meje za število schurovske lastnosti ter število ločljivosti od cikličnih Clayleyjevih shem. Načrtujemo, da bomo poleg čiste teorije S-kolobarjev iskali tudi morebitne uporabe v algebraični teoriji grafov in končnih geometrijah.
(EN) The aim of our research is to gain a deeper understanding of the class of abelian Schur groups. We will study the problem of separability of cyclic S-colubars and find a simple and necessary and sufficient condition for separability. Our goal is to describe cyclic groups over which every S-pillar is separable. We will also find good upper bounds on the number of Schur properties and the number of separability from cyclic Clayley schemes. We plan to look for possible applications in algebraic graph theory and finite geometries, in addition to the pure theory of S-rounds.

Trajanje

Duration

01/01/2014 - 31/12/2015

Vodja projekta

Project Leader

dr. Istvan Kovacs

Sodelujoče organizacije

Participating organizations

St. Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of Science

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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