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Regular subgroups, nilpotent algebras and projectively congruent matrices | ||
International Journal of Group Theory | ||
مقاله 7، دوره 7، شماره 1، خرداد 2018، صفحه 51-56 اصل مقاله (192.02 K) | ||
نوع مقاله: Ischia Group Theory 2016 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21215 | ||
نویسنده | ||
Marco Pellegrini* | ||
Università Cattolica del Sacro Cuore | ||
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. | ||
کلیدواژهها | ||
Regular subgroup؛ nilpotent algebra؛ congruent matrices | ||
مراجع | ||
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