We answer a question of Friedlander, Iwaniec, Mazur, and Rubin on the joint distribution spin symbols. As an application we give negative to conjecture Cohn Lagarias existence governing fields for 16-rank class groups under assumption short character sum conjecture.

We examine the proof of a classical localization theorem of Bousfield and Friedlander and we remove the assumption that the underlying model category be right proper. The key to the argument is a lemma about factoring in morphisms in the arrow category of a model category.

I am very pleased to support the nomination of Eric Fried-lander for the position of president of the American Mathematical Society. Eric has had an extremely distinguished career in our profession spanning almost four decades. Beyond a sterling research record his career is characterized by numerous and wide-ranging contributions to the mathematical enterprise. In my opinion his contributions ...

We complete the proof of the Friedlander, Gordon and Miller Conjecture that every finite abelian group whose Sylow 2-subgroup either is trivial or both non-trivial and non-cyclic is R-sequenceable. This settles a question of Ringel for abelian groups.

We prove that Friedlander’s generalized isomorphism conjecture on the cohomology of algebraic groups, and hence Milnor’s conjecture on 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.