Paper Information

Title: 

RELATIONS BETWEEN BLOCKING SETS AND CN-GROUPS

Type: PAPER
Author(s): ATAEI M.J.*,ABD ELAHI A.R.
 
 *DEPARTMENT OF MATHEMATICS, PAYAME NOOR UNIVERSITY, ISFAHAN, IRAN
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
Abstract: 

blocking set in PG (n, q) is a set of points that has nonempty intersection with every hyperplane of PG(n, q). A blocking set that contains a line is called trivial. A blocking set is called minimal if none of its proper subsets are blocking sets. A cover C for a group G is called a ÿn-cover whenever C is an irredundant maximal core-free n-cover for G and in this case we say that G is a ÿn-group.
In this paper we give relations between blocking sets and
 ÿn-groups.

 
Keyword(s): BLOCKING SETS, COVERING GROUPS BY SUBGROUPS, MAXIMAL IRREDUNDANT COVERS FOR GROUPS, PROJECTIVE SPACES
 
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