839 research outputs found
The Elementary Divisors of the Incidence Matrices of Skew Lines in PG(3,p)
The elementary divisors of the incidence matrices of lines in are
computed, where two lines are incident if and only if they are skew.Comment: 9 page
Some simple modules for classical groups and -ranks of orthogonal and Hermitian geometries
We determine the characters of the simple composition factors and the
submodule lattices of certain Weyl modules for classical groups. The results
have several applications. The simple modules arise in the study of incidence
systems in finite geometries and knowledge of their dimensions yields the
-ranks of these incidence systems.Comment: 33 pages, corrected parity of u in statement of Theorem 1.6(b
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