Some remarks on regular subgroups of the affine group

Maria Clara Tamburini Bellani

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

7 Citazioni (Scopus)

Abstract

Let V be a vector space over a field F of characteristic p and let T be a regular subgroup of the affine group AGL(V). In the finite dimensional case we show that, if T is abelian or p>0, then T is unipotent. For T abelian, pushing forward some ideas used by Caranti, Dalla Volta, Sala, we show that the set {t-I|t\in T} is a subalgebra of End_F(F+V), which is nilpotent when V has finite dimension. This allows a rather systematic construction of abelian regular subgroups.
Lingua originaleEnglish
pagine (da-a)17-23
Numero di pagine7
RivistaInternational Journal of Group Theory
Stato di pubblicazionePubblicato - 2012

Keywords

  • affine group

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