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Title

Diagrams for certain quotients of PSL(2, Z[i])
Authors

QAISER MUSHTAQ
Organization: Quaid-i-Azam University
Department: Department of Mathematics
AWAIS YOUSAF
Organization: Quaid-i-Azam University
Department: Department of Mathematics
Journal / Anthology

Proceedings of the Indian Academy of Sciences - Section A Part 3 Mathematical sciences
Year: 2014
Volume: 124
Issue: 3
Page range: 291299
Description

Actions of the Picard group PSL(2, Z[i]) on PL(Fp), where p ≡1(mod 4), are investigated through diagrams. Each diagram is composed of fragments of three types. A technique is developed to count the number of fragments which frequently occur in the diagrams for the action of the Picard group on PL(Fp). The conditions of existence of fixed points of the transformations are evolved. It is further proved that the action of the Picard group on PL(Fp) is transitive. A code in Mathematica is developed to perform the calculation.
Subject

*Mathematics