On Suborbital Graphs for Some Subgroups of the Normalizer of Γ0(qp2)

被引：0

作者：

Uzun, Suleyman ^{[1
]}

Sanli, Zeynep ^{[1
]}

Akbas, Mehmet ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / 01期

关键词：

Suborbital graphs; Circuit; Orbit; Index;

D O I：

10.1007/s41980-020-00373-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper,we find some certain relationships between the lengths of the circuits in suborbital graphs F-u,F- N for Lambda(N) on (Q) over cap (N) and the periods of the group Lambda(N), generated by Gamma(0)(N) and an Atkin-Lehner involution, which is a subgroup of the normalizer N(Gamma(0)(N)) of Gamma(0)(N) in PSL(2, R) where N will be of the form qp(2), where q = 1 or prime and p is prime > 3 and p not equal q. In this case the action of the nomalizer on the extended rational numbers (Q) over cap is not transitive. And finally, we give some number theoretical results.

引用

页码：157 / 169

页数：13

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