In the paper ‘Automorphic functions for a Whitehead-complement group’ [5], Matsumoto, Nishi and Yoshida constructed automorphic functions on real 3–dimensional hyperbolic space for a Kleinian group called the Whitehead-link-complement group. For a Kleinian group (of the first kind), no automorphic function/form has been studied before. In this note, their motivation is presented with a historic...

We analyze the homological behavior of the attaching maps in the 2-local Goodwillie tower of the identity evaluated at S1 . We show that they exhibit the same homological behavior as the James-Hopf maps used by N. Kuhn to prove the 2-primary Whitehead conjecture. We use this to prove a calculus form of the Whitehead conjecture: the Whitehead sequence is a contracting homotopy for the Goodwillie...

The paper argues for the de-emphasis of the reduction of crime fear as a policy objective. The paper rehearses measurement and ethical issues which support such a view. It goes on to report the more nuanced and sophisticated views of community safety practitioners. The paper demonstrates that the abandonment of the reduction of crime fear as an objective would have little effect upon community ...

We show that a finitely generated subgroup of a free group, chosen uniformly at random, is strictly Whitehead minimal with overwhelming probability. Whitehead minimality is one of the key elements of the solution of the orbit problem in free groups. The proofs strongly rely on combinatorial tools, notably those of analytic combinatorics. The result we prove actually depends implicitly on the ch...