More on regular subgroups of the affine group

Marco Antonio Pellegrini, Maria Clara Tamburini Bellani

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)

Abstract

This paper is a new contribution to the study of regular subgroups of the affine group AGLn(F), for any field F. In particular we associate to each partition λ≠(1^{n+1}) of n+1 abelian regular subgroups in such a way that different partitions define non-conjugate subgroups. Moreover, we classify the regular subgroups of certain natural types for n≤4. Our classification is equivalent to the classification of split local algebras of dimension n+1 over F. Our methods, based on classical results of linear algebra, are computer free.
Lingua originaleEnglish
pagine (da-a)126-151
Numero di pagine26
RivistaLinear Algebra and Its Applications
DOI
Stato di pubblicazionePubblicato - 2016

Keywords

  • Jordan canonical form
  • Local algebra
  • Regular subgroup

Fingerprint

Entra nei temi di ricerca di 'More on regular subgroups of the affine group'. Insieme formano una fingerprint unica.

Cita questo