2008•Communications in AlgebraRequires access
The Number of Subgroups ofPSL(2,Z) When Acting onFp ∪ {∞}
Saima Anis, Qaiser Mushtaq
Open publisher page 4 citations
Abstract
Coset diagrams defined for the transitive actions of PSL(2, Z) on projective line over a Galois field F p , PL(F p ), where p is prime, are used to obtain a formula for finding the number of subgroups of index p + 1 of the modular group PSL(2, Z). Some intransitive actions of PSL(2, Z) on PL(F p ) for some special values of θ, when θ ∈ F p , are also studied.