J. T. Ferrara

collaborators

2 papers

math.GR2017

Orthogonal groups in characteristic 2 acting on polytopes of high rank

Peter A. Brooksbank, John T. Ferrara, Dimitri Leemans

We show that for all integers $m \geq 2$ , and all integers $k \geq 2$ , the orthogonal groups $\Orth^{\pm}(2m,\Fk)$ act on abstract regular polytopes of rank $2 m$ , and the symplectic…

math.NT2016

Generic Extensions and Generic Polynomials for Linear Algebraic Groups

Eric Y. Chen, J. T. Ferrara, Liam Mazurowski

We show the existence of and explicitly construct generic polynomials for various groups, over fields of positive characteristic. The methods we develop apply to a broad class of c…