Henry Hurwitz, Jr

Hurwitz’ Theorem

In this article we describe several results based on the paper [Hur98] and which we will refer to as Hurwitz’ theorem. There are several related results: the classification of real normed division algebras, the classification of complex composition algebras and the classification of real composition algebras. The classification of real division algebras is an open problem. Our interest is in co...

Hurwitz spaces

1.1 The classical Hurwitz space and the moduli of curves The classical Hurwitz space first appeared in the work of Clebsch [5] and Hurwitz [17] as an auxiliary object to study the moduli space of curves. Let X be a smooth projective curve of genus g over C. A rational function f : X → P of degree n is called simple if there are at least n − 1 points on X over every point of P. Such a cover has ...

Lemmata zum Hurwitz-Kriterium

Hurwitz Groups and Surfaces

Hurwitz not only gave an upper bound for the number of automorphisms of a compact Riemann surface of genus greater than 2, but also gave a characterization of which finite groups could be groups of automorphisms achieving this bound. In practice, however, the identification of such groups and of the surfaces they act on is difficult except in special cases. We survey what is known. 1. How I Got...

Henry Ormerod

at the age of 68, belonged to a family of surgeons. He was educated at the Bristol Royal Infirmary and Medical School, and very soon after qualifying he settled at Westbury. Although his capacity for work was immense, yet in the early years of his practice he had more than one attack of haemoptysis, and it was his opinion that leading a country open-air life had been the means of warding off mo...