Univerza na Primorskem Fakulteta za matematiko, naravoslovje in informacijske tehnologije
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sobota, 6. november 2010 Raziskovalni matematični seminar

V ponedeljek, 8. novembra 2010, bo ob 10. uri v seminarski sobi v Galebu, v okviru raziskovalnega matematičnega seminarja, predaval dr.Istvan Kovacs.

Naslov: Covering systems of finite abelian groups

Predavanje bo v Angleščini.
Vljudno vabljeni k udeležbi na predavanju!
 
Povzetek: A covering system of a finite group G is a set S of ordered pairsof its subgroups,

S = { (M1,L1), ..., (Mn,Ln) }, which satisfies the following axioms:
1. Mi < Li for all i.
2. (L1\M1) U
… U (Ln\Mn) = G\{1}.
3. |L1 : M1| ∙…∙ |Ln: Mn| = |G|.
The covering system S is said to be regular if some Li=G.
In the talk we study the regularity of covering systems of finite abelian groups.