For which fieldsIn Vogtmann's paper "Spherical posets and which typehomological stability for $O_{n,n}$" it is shown that for all fields different than the field $F_2$ with two elements the homology groups of the orthogonal groups aregroup $O_{n,n}$ stabilize. Is there homologicala stability resultsresult over the field $F_2$ and also for other orthogonal groups?
Post Closed as "Needs more focus" by abx, Oscar Randal-Williams, Joonas Ilmavirta, Alexey Ustinov, Myshkin