Pellegrini, M. (2018). Regular subgroups, nilpotent algebras and projectively congruent matrices. International Journal of Group Theory, 7(1), 51-56. doi: 10.22108/ijgt.2017.21215

Marco Pellegrini. "Regular subgroups, nilpotent algebras and projectively congruent matrices". International Journal of Group Theory, 7, 1, 2018, 51-56. doi: 10.22108/ijgt.2017.21215

Pellegrini, M. (2018). 'Regular subgroups, nilpotent algebras and projectively congruent matrices', International Journal of Group Theory, 7(1), pp. 51-56. doi: 10.22108/ijgt.2017.21215

Pellegrini, M. Regular subgroups, nilpotent algebras and projectively congruent matrices. International Journal of Group Theory, 2018; 7(1): 51-56. doi: 10.22108/ijgt.2017.21215

Regular subgroups, nilpotent algebras and projectively congruent matrices

^{}Universit&agrave; Cattolica del Sacro Cuore

Abstract

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.

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