پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,731,372 |
| تعداد دریافت فایل اصل مقاله | 17,563,519 |
Some remarks on regular subgroups of the affine group | ||
| International Journal of Group Theory | ||
| مقاله 3، دوره 1، شماره 1، خرداد 2012، صفحه 17-23 اصل مقاله (277.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2012.468 | ||
| نویسنده | ||
| M. Chiara Tamburini Bellani | ||
| چکیده | ||
| Let $V$ be a vector space over a field $F$ of characteristic $p\geq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing forward some ideas used in [A. Caranti, F. Dalla Volta and M. Sala, Abelian regular subgroups of the affine group and radical rings, Publ. Math. Debrecen {\bf 69} (2006), 297--308.], we show that the set $\left\{t-I\mid t\in T\right\}$ is a subalgebra of $End_F(F\oplus V)$, which is nilpotent when $V$ has finite dimension. This allows a rather systematic construction of abelian regular subgroups. | ||
| کلیدواژهها | ||
| Affine group؛ Regular subgroups | ||
| مراجع | ||
|
A. Caranti, F. Dalla Volta and M. Sala (2006) Abelian regular subgroups of the affine group and radical rings Publ. Math. Debrecen 69, 297-308
P. Hegedus (2000) Regular subgroups of the Affine group J. Algebra 225, 740-742
J. E. Humphreys (1975) Linear algebraic groups Springer
| ||
|
آمار تعداد مشاهده مقاله: 5,496 تعداد دریافت فایل اصل مقاله: 3,505 |
||