پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,730,744 |
| تعداد دریافت فایل اصل مقاله | 17,563,079 |
Group actions related to non-vanishing elements | ||
| International Journal of Group Theory | ||
| مقاله 4، دوره 3، شماره 2، شهریور 2014، صفحه 41-51 اصل مقاله (306.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2014.3669 | ||
| نویسنده | ||
| Thomas Wolf* | ||
| Ohio University | ||
| چکیده | ||
| We characterize those groups $G$ and vector spaces $V$ such that $V$ is a faithful irreducible $G$-module and such that each $v$ in $V$ is centralized by a $G$-conjugate of a fixed non-identity element of the Fitting subgroup $F(G)$ of $G$. We also determine those $V$ and $G$ for which $V$ is a faithful quasi-primitive $G$-module and $F(G)$ has no regular orbit. We do use these to show in some cases that a non-vanishing element lies in $F(G)$. | ||
| کلیدواژهها | ||
| Finite؛ Groups؛ Fitting؛ subgroup | ||
| مراجع | ||
|
B. Huppert (1957) Zweifach transitive auflosbare Permutationsgruppen Math. Z. 68, 126-150
B. Huppert (1998) Character Theory of Finite Groups de Gruyter Expositions in Mathematics, Walter de Gruyter and Co., Berlin 25
B. Huppert and N. Blackburn (1982) Finite Groups II Springer, Berlin-New York 44
I. M. Isaacs, G. Navarro and T. Wolf (1999) Finite Groups Elements where no Irreducible Character Vanishes J. Algebra 222, 413-423
O. Manz and T. Wolf (1993) Representations of Solvable Groups London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge 185
A. Moreto and T. Wolf (2004) Orbit sizes, character degrees, and Sylow subgroups Adv. Math. 184, 18-36
| ||
|
آمار تعداد مشاهده مقاله: 4,740 تعداد دریافت فایل اصل مقاله: 3,469 |
||