3 papers
math.GR2021
Generalized Hyperbolic Spaces Associated with Arbitrary Quadratic Forms
Shaul Zemel
The Vahlen group gives a way for presenting the hyperbolic space of every dimension of a group acting via Möbius transformations. As Vahlen groups and paravector Vahlen groups are…
math.GR2021
Clifford Groups of Arbitrary Quadratic Modules over Commutative Rings
Shaul Zemel
We consider the Clifford algebra and the Clifford group associated with any quadratic module, degenerate or not, over an arbitrary commutative ring with 1. We determine some of the…
math.GR2014
An Algebraic Description of the Exceptional Isogenies to Orthogonal Groups
Shaul Zemel
We show how the exceptional isogenies of classical groups to orthogonal groups of quadratic spaces of dimensions up to 8 over fields of characteristic different from 2 may be obtai…