Hyperkomplexe Größen und Darstellungstheorie

  title={Hyperkomplexe Gr{\"o}{\ss}en und Darstellungstheorie},
  author={Emmy Noether},
  journal={Mathematische Zeitschrift},
  • E. Noether
  • Published 1 December 1929
  • Mathematics
  • Mathematische Zeitschrift

A Reidemeister-Schreier theorem for finitely $L$-presented groups

We prove a variant of the well-known Reidemeister-Schreier theorem for finitely $L$-presented groups. More precisely, we prove that each finite index subgroup of a finitely $L$-presented group is

On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras

This is an overview of ideas related to brackets in early homotopy theory, crossed modules, the obstruction 3-cocycle for the nonabelian extension problem, the Teichmuller cocycle, Lie-Rinehart

On the relations between subgroups and ideals

In this paper, we study the connections between normal subgroups of a group G and ideals of a group ring RG. We find a relation between conjugate subgroups of G and conjugate augmentation ideals of

Käte Hey and Margaret Matchett—Two Women PhD Students of Emil Artin

The renowned mathematician Emil Artin supervised 31 doctoral students during his career, two of whom were women. His first doctoral student, Kate Hey, completed her PhD at the University of Hamburg

The Two Mathematical Careers of Emmy Noether

The received view of Emmy Noether as the champion of David Hilbert’s new style of algebra is not false (as you can see from the fact that Hermann Weyl urged this view). But it seriously understates

Characters and Representations After 1897

Frobenius’ papers of 1896–1897 marked the beginning of a new theory, a theory that continued to evolve in various directions for over a half-century. Frobenius himself, along with Burnside, made

A Note on Invariantly Finitely $L$-Presented Groups

In the first part of this note, we introduce Tietze transformations for $L$-presentations. These transformations enable us to generalize Tietze's theorem for finitely presented groups to invariantly