Correction to the paper “Generators of an orthogonal group over a finite field”
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Let be a -adic field, and let endowed with the Haar measure determined by giving a maximal compact subgroup measure . Let denote the number of conjugacy classes of arithmetic lattices in with co-volume bounded by . We show that under the assumption that does not contain the element , where denotes the -th root of unity over , we have where denotes the order of the residue field of .