Home
Add
Get on Google Play
Home
> Edit
Add/Update Thesis
Title*
Author's Name*
Supervisor's Name
Abstract
The objective of this research study is to investigate certain actions of the group ? de ned by linear-fractional transformations of the form r : z ! z ? 1 z and s : z ! ?1 2(z + 1) , satisfying the relations < r; s : r3 = s4 = 1 >. These actions can be on in niteelds (projective lines over real and imaginary quadraticelds) or onniteelds PL(Fq) for prime q. It has been shown that coset diagram for the actions of ?= G 3;4(2;Z) satisfying the relations < r; s : r3 = s4 = t2 = (rs)2 = (rt)2 = (st)2 = 1 > is connected and transitive on rational projective line. Using this, it is proved that for the group ?, < r; s : r3 = s4 = 1 > are de ning relations. It is also found out that if is any real quadratic irrational number then a unique closed path could be formed by ambiguous numbers in the orbit? . Actions of the group ?on PL(Fq) have been parameterized. It means that for a prime q and 2 Fq, a coset diagram D( ; q) represents each conjugacy class of actions of ?on PL(Fq) where q is a prime number. ln particular, each conjugacy class for actions of in nite triangle groups(3; 4; k) on PL(Fq) is associated with a coset diagram D( ; q).
Subject/Specialization
Language
Program
Faculty/Department's Name
Institute Name
Univeristy Type
Public
Private
Campus (if any)
Institute Affiliation Inforamtion (if any)
City where institute is located
Province
Country
Degree Starting Year
Degree Completion Year
Year of Viva Voce Exam
Thesis Completion Year
Thesis Status
Completed
Incomplete
Number of Pages
Urdu Keywords
English Keywords
Link
Select Category
Religious Studies
Social Sciences & Humanities
Science
Technology
Any other inforamtion you want to share such as Table of Contents, Conclusion.
Your email address*