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.
Pellegrini, M. A., Regular subgroups, nilpotent algebras and projectively congruent matrices, <<INTERNATIONAL JOURNAL OF GROUP THEORY>>, 2018; 7 (1): 51-56. [doi:10.22108/ijgt.2017.21215] [http://hdl.handle.net/10807/111453]
Autori: | ||
Titolo: | Regular subgroups, nilpotent algebras and projectively congruent matrices | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.22108/ijgt.2017.21215 | |
Indirizzo URL alternativo: | www.theoryofgroups.ir/ | |
Data di pubblicazione: | 2018 | |
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: | Inglese | |
Rivista: | ||
Citazione: | Pellegrini, M. A., Regular subgroups, nilpotent algebras and projectively congruent matrices, <<INTERNATIONAL JOURNAL OF GROUP THEORY>>, 2018; 7 (1): 51-56. [doi:10.22108/ijgt.2017.21215] [http://hdl.handle.net/10807/111453] | |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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