A blocking set in a projective plane is point intersecting each line. The smallest sets are lines. second minimal Baer subplanes (subplanes of order q). Our aim to study the stability PG(2,q). If we delete q+1−k points from subplane, then resulting has size q+k and (q+1−k)(q−q) 0-secants. have somewhat more 0-secants, our main theorem says that this can be obtained subplane or line by deleting ...

In this paper we construct Baer ordered indecomposable division algebras of index pn and exponent pm for all primes p and for all n, m, with n > m ≥ 1 (n ≥ 3 if p = 2).