Incidence Homology of Finite Projective Spaces

Abstract

Let F be the finite field of q elements and let P(n, q) be the projective space of dimension n−1 over F. We construct a family H k,i of combinatorial homology modules associated to P(n, q) over a coefficient field F field of characteristic p0 > 0 co-prime to q. As FGL(n, q) -representations the modules are obtained from the permutation action of GL(n, q) on… (More)

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