Integral Homology of PGL 2 over Elliptic
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] for k = C and to Jardine 3] for arbitrary k). Similarly, a proof of an unstable version of rigidity would lead to a proof of the unstable Friedlander{Milnor Conjecture.
منابع مشابه
Proceedings of Symposia in Pure Mathematics Integral Homology of PGL 2 over Elliptic CurvesKevin
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], als...
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The Friedlander–Milnor Conjecture [1] asserts that if G is a reductive algebraic group over an algebraically closed field k, then the comparison map H ét(BGk,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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The group PGL(2, q) has an embedding into PGL(3, q) such that it acts as the group fixing a nonsingular conic in PG(2, q). This action affords a coherent configuration R(q) on the set L(q) of non-tangent lines of the conic. We show that the relations can be described by using the cross-ratio. Our results imply that the restrictions R+(q) and R−(q) of R(q) to the set L+(q) of secant (hyperbolic)...
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