Raziskovalni matematični seminar

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