6 papers
Lattices in $\R^n\rtimes\SL_2(\R)$
M. M. Radhika, Sandip Singh
We determine the existence of cocompact lattices in groups of the form $\V\rtimes\SL_2(\R)$, where $\V$ is a finite dimensional real representation of $\SL_2(\R)$. It turns out tha…
Thinness of some hypergeometric groups in Sp(6)
Sandip Singh, Shashank Vikram Singh
We show that the hypergeometric groups corresponding to the seven pairs of the parameters , where = (0, 0, 0, 0, 0, 0) and is any of the parameters (1/2, 1/2, 1/2, 1…
Arithmeticity of Some Hypergeometric Groups
Jitendra Bajpai, Sandip Singh, Shashank Vikram Singh
We show that the hypergeometric groups associated to the pairs of the parameters , $\left(\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{3}{4}…
Symplectic Hypergeometric Groups of Degree Six
Jitendra Bajpai, Daniele Dona, Sandip Singh +1
Our computations show that there is a total of pairs of degree six coprime polynomials where , is a product of cyclotomic polynomials, and $f,…
On Orthogonal Hypergeometric Groups of Degree Five
Jitendra Bajpai, Sandip Singh
A computation shows that there are 77 (up to scalar shifts) possible pairs of integer coefficient polynomials of degree five, having roots of unity as their roots, and satisfying t…
Commensurability and arithmetic equivalence for orthogonal hypergeometric monodromy groups
Jitendra Bajpai, Sandip Singh, Scott Thomson
We compute invariants of quadratic forms associated to orthogonal hypergeometric groups of degree five. This allows us to determine some commensurabilities between these groups, as…