Regular subgroups, nilpotent algebras and projectively congruent matrices
نویسندگان
1 Università Cattolica del Sacro Cuore
doi
10.22108/ijgt.2017.21215چکیده
In this paper we highlight the connection between certain classes of regular subgroups of the affine group $AGL_n(F)$, $F$ 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.