A criterion is given for the solvability of a central Galois embedding problem to go from a projective linear group covering to a vectorial linear

As an infinite family of simple groups, the two dimensional special projective linear groups PSL(2,p) are interesting algebraic objects. While the groups are well known in the sense that their subgroup lattice structure is completely determined, properties of their generating sequences are still not entirely understood. With recent developments in this direction, one can begin to completely ans...

Conventional formulations of linear algebra do not do justice to the fundamental concepts of meet, join, and duality in projective geometry. This defect is corrected by introducing Clifford algebra into the foundations of linear algebra. There is a natural extension of linear transformations on a vector space to the associated Clifford algebra with a simple projective interpretation. This opens...

‎let $g$ be a finite group‎. ‎in [ghasemabadi et al.‎, ‎characterizations of the simple group ${}^2d_n(3)$ by prime graph‎ ‎and spectrum‎, ‎monatsh math.‎, ‎2011] it is‎ ‎proved that if $n$ is odd‎, ‎then ${}^2d _n(3)$ is recognizable by‎ ‎prime graph and also by element orders‎. ‎in this paper we prove‎ ‎that if $n$ is even‎, ‎then $d={}^2d_{n}(3)$ is quasirecognizable by‎ ‎prime graph‎, ‎i.e‎...

Measurement uncertainty is a recurrent concern in visual reconstruction. Image formation and 3D structure recovery are essentially projective processes that do not quite fit into the classical framework of affine least squares, so intrinsically projective error models must be developed. This paper describes initial theoretical work on a fully projective generalization of affine least squares. T...

Martin Urban, Tomáš Pajdla, Václav Hlaváč Abstract Projective reconstruction recovers 3-D points in projective space P3 from their several projections to 2-D images. Applications of projective reconstruction include algorithms for selecting point correspondences, algorithms for camera self-calibration, and algorithms for 3D shape recovery. We introduce a method for the projective reconstruction...

It is known that some good linear codes over a finite ring (R-linear codes) arise from interesting point constellations in certain projective geometries. For example, the expurgated Nordstrom-Robinson code, a nonlinear binary [14, 6, 6]-code which has higher minimum distance than any linear binary [14, 6]-code, can be constructed from a maximal 2-arc in the projective Hjelmslev plane over Z4. W...

We prove a new upper bound on the essential p-dimension of the projective linear group PGLn.