35 citations · 48 across the 6 of their papers we have counts for
15 papers
The Conway-Parker algebra and the largest Fischer group
Gerald Höhn
We give a direct, self-contained construction of the three sporadic Fischer groups , , and from the -dimensional Conway…
A constructive ATLAS of finite simple groups in Lean
Gerald Höhn
We present a constructive atlas of finite simple groups with proofs of their orders, simplicity, and structural properties. The eight completed families are cyclic groups of prime…
Definite integral Albert algebras: arithmetic and finite geometry
Gerald Höhn
We give a unified treatment of definite Albert algebras over , with exceptional Siegel--Weil identities as the main arithmetic tool. Starting from the standard octonion…
The unique extremal threemodular lattice of rank 26, the generalized hexagon , and the tight Cayley-plane -design
Gerald Höhn
We reconstruct the generalized hexagon of order from an abstract even rank- lattice of determinant and minimum , and conversely reconstruct the lattice from the…
The Hall-Janko Simple Group and the Icosian Leech Lattice
Gerald Höhn
We give a unified arithmetic and geometric treatment of the Hall-Janko simple group and the icosian Leech lattice. Let be the standard icosian maximal order over $K=\…
Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an N=4 superconformal structure
Gerald Höhn, Geoffrey Mason
Odd, positive-definite, integral, unimodular lattices N of rank 24 were classified by Borcherds. There are 273 isometry classes of such lattices. Associated to them are vertex supe…