Hyperkomplexe Größen und Darstellungstheorie

  title={Hyperkomplexe Gr{\"o}{\ss}en und Darstellungstheorie},
  author={E. Noether},
  journal={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 isExpand
Factoring the Dedekind-Frobenius determinant of a semigroup
The representation theory of finite groups began with Frobenius’s factorization of Dedekind’s group determinant. In this paper, we consider the case of the semigroup determinant. The semigroupExpand
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-RinehartExpand
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 ofExpand
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 HamburgExpand
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 understatesExpand
Automorphisms of the endomorphism algebra of a free module
Abstract Let R be a commutative ring with identity 1 ∈ R and V a free R -module of arbitrary rank. Let E n d R ( V ) denote the R -algebra of all R -linear endomorphisms of V . We show that all RExpand
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, madeExpand
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 invariantlyExpand