37 citations · 43 across the 11 of their papers we have counts for
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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 , and all integers , the orthogonal groups $\Orth^{\pm}(2m,\Fk)$ act on abstract regular polytopes of rank , and the symplectic…
math.RA2017
Testing isomorphism of graded algebras
Peter A. Brooksbank, E. A. O'Brien, James B. Wilson
We present a new algorithm to decide isomorphism between finite graded algebras. For a broad class of nilpotent Lie algebras, we demonstrate that it runs in time polynomial in the…