کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9512211 | 1342475 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Homomorphic images of â³(2,3,11)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
It is known that each conjugacy class of actions of PGL(2,Z) on Fqâª{â} can be represented by a coset diagram D(θ,q), where θâFq and q is a power of a prime p. In this paper, we are interested in parametrizing the conjugacy classes of actions of the infinite triangle group â³(2,3,11)=ãx,y:x2=y3=(xy)11=1ã on Fqâª{â}. For each θâFq we then associate a coset diagram D(θ,q) depicting the conjugacy class of actions of â³(2,3,11) on Fqâª{â}. We have obtained conditions on θ and q which guarantee only those coset diagrams which depict homomorphic images of â³(2,3,11) in PGL(2,q). We are interested in finding also when the coset diagrams for the actions of PGL(2,Z) on Fqâª{â} contain vertices on the vertical line of symmetry. It will enable us to show that for infinitely many values of q, the group PGL(2,q) has minimal genus, while also for infinitely many q, the group PSL(2,q) is an H*-group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 290, Issue 1, 28 January 2005, Pages 47-59
Journal: Discrete Mathematics - Volume 290, Issue 1, 28 January 2005, Pages 47-59
نویسندگان
Q. Mushtaq, T. Maqsood,