Isoperimetric inequalities and the Friedlander-Milnor conjecture

Details Isoperimetric inequalities and the Friedlander-Milnor conjecture Isoperimetric inequalities and the Friedlander-Milnor conjecture

2004-03-25

arxiv.org/abs/math/0403426v2

Mathematics

K-Theory and Homology

20 pages, revised. At the referee's request, historically inappropriate uses of the term "Milnor's conjecture" replaced by "

Scientific paper

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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