Proceedings of Symposia in Pure Mathematics Integral Homology of PGL 2 over Elliptic CurvesKevin
نویسندگان
چکیده
The Friedlander{Milnor Conjecture 1] asserts that if G is a reductive algebraic group over an algebraically closed eld k, then the comparison map H et (BG k ; Z=p) ?! H (BG; Z=p) is an isomorphism for all primes p not equal to the characteristic of k. Gabber's rigidity theorem 2] implies that this map is indeed an isomorphism for the stable general linear group GL (this is due to Suslin 6], also see Jardine 3]). Similarly, a proof of an unstable version of rigidity would lead to a proof of the unstable Friedlander{Milnor Conjecture.
منابع مشابه
Integral Homology of PGL 2 over Elliptic
The Friedlander{Milnor Conjecture 1] asserts that if G is a reductive algebraic group over an algebraically closed eld k, then the comparison map H et (BG k ; Z=p) ?! H (BG; Z=p) is an isomorphism for all primes p not equal to the characteristic of k. Gabber's rigidity theorem 2] implies that this map is indeed an isomorphism for the stable general linear group GL (this is due to Suslin 6] for ...
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