dr.Istvan Kovacs – Covering systems of finite abelian groups

8.11.2010. ob 10:00 Seminarska soba v Galebu

Predavatelj: dr.Istvan Kovacs

Naslov: Covering systems of finite abelian groups

Povzetek: A covering system of a finite group G is a set S of ordered pairs of its subgroups,

S = { (M₁,L₁), …, (M_n,L_n) }, which satisfies the following axioms:
1. M_ii 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.