Regular subgroups, nilpotent algebras and projectively congruent matrices

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Abstract

In this paper we highlight the connection between certain classes of regular subgroups of the affine group AGLn(F), F a field, and associative nilpotent F-algebras of dimension n. We also describe how the classification of projective congruence classes of square matrices is equivalent to the classification of regular subgroups of particular shape.
Lingua originaleEnglish
pagine (da-a)51-56
Numero di pagine6
RivistaInternational Journal of Group Theory
Volume7
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • Congruent matrices
  • Nilpotent algebra
  • Regular subgroup

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