Miscellany on Bieberbach group algebras

On Group Algebras

A Miscellany

Vittorio and I, the second named author, were friends for many years. We first met at a conference in Bari in 1975 where we discussed some work he was doing. It was only several years later that we really became friends — through Henri Berestycki who was staying with Vittorio and his wife in New York. After that we would meet in Italy or in New York, and it was always a great pleasure to spend ...

Clinical Miscellany

79 the same as that for previous editions. Everything considered, this volume maintains the high standard of excellence which the earlier editions established. Medical literature abounds with voluminous clinical experiences, the significance of which is too frequently obscured by irrelevant detail and unnecessary statistics. Thus, intelligent evaluation is inhibited and important observations a...

Generalized Fermat equations: A miscellany

This paper is devoted to the generalized Fermat equation xp + yq = zr , where p, q and r are integers, and x, y and z are nonzero coprime integers. We begin by surveying the exponent triples (p, q, r), including a number of infinite families, for which the equation has been solved to date, detailing the techniques involved. In the remainder of the paper, we attempt to solve the remaining infini...

On Amenability of Group Algebras, Ii: Graded Algebras

We show that, in a finitely generated amenable group G with lower central series (γn(G)), the function n 7→ rank(γn(G)/γn+1(G)) grows subexponentially. This paper continues [22,2]’s study of amenability of affine algebras (based on the notion of almost-invariant finite-dimensional subspace), and applies it to graded algebras associated with finitely generated groups. We consider the graded defo...