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arXiv math/0403426math.KTmath.AT

Isoperimetric inequalities and the Friedlander-Milnor conjecture

Tibor Beke

备注：
20 pages, revised. At the referee's request, historically inappropriate uses of the term "Milnor's conjecture" replaced by "Friedlander's conjecture". Information added on the history of the conjecture(s). Two references added. No mathematical changes. To appear in Crelle's Journal
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英文摘要：

We prove that Friedlander's generalized isomorphism conjecture on the cohomology of algebraic groups, and hence the Isomorphism Conjecture for the cohomology of the complex algebraic Lie group G(C) made discrete, are equivalent to the existence of an isoperimetric inequality in the homological bar complex of G(F), where F is the algebraic closure of a finite field.

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