Regular subgroups, nilpotent algebras and projectively congruent matrices

نویسندگان

1 Università Cattolica del Sacro Cuore

doi
10.22108/ijgt.2017.21215
چکیده

‎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.