Schurove grupe, ločljivi S-kolobarji in uporabi / Schur groups, separable S-rings and application
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Naziv Tittle |
Schurove grupe, ločljivi S-kolobarji in uporabi / Schur groups, separable S-rings and application |
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Akronim Acronim |
BI-RU/14-15-023 |
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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. |
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Trajanje Duration |
01/01/2014 - 31/12/2015 |
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Vodja projekta Project Leader |
dr. Istvan Kovacs |
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Sodelujoče organizacije Participating organizations |
St. Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of Science |
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Oddelek Department |
Oddelek za matematiko IAM |