The densest lattices in PGL3(Q2)

Details The densest lattices in PGL3(Q2) The densest lattices in PGL3(Q2)

2011-05-10

arxiv.org/abs/1105.1860v1

Mathematics

Group Theory

Scientific paper

We find the smallest possible covolume for lattices in PGL3(Q2), show that
there are exactly two lattices with this covolume, and describe them
explicitly. They are commensurable, and one of them appeared in Mumford's
construction of his fake projective plane.

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