Open AccessThe invariant factors of the incidence matrices of points and subspaces in ππΊ(π,π) and π΄πΊ(π,π)
Author(s) -
David B. Chandler,
Peter Sin,
Qing Xiang
Publication year - 2006
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-06-03859-1
Subject(s) - algorithm , linear subspace , artificial intelligence , mathematics , computer science , geometry
We determine the Smith normal forms of the incidence matrices of points and projective ( r β 1 ) (r-1) -dimensional subspaces of PG β‘ ( n , q ) \operatorname {PG}(n,q) and of the incidence matrices of points and r r -dimensional affine subspaces of AG β‘ ( n , q ) \operatorname {AG}(n,q) for all n n , r r , and arbitrary prime power q q .