66 citations · 448 across the 34 of their papers we have counts for
35 papers
On hyperovals in
Dmitrii V. Pasechnik
According to a computer search conducted by the author and described in [7], in there are two types of hyperovals, having 72 and 96 points, respectively. Here we give g…
Implementing Hadamard Matrices in SageMath
Matteo Cati, Dmitrii V. Pasechnik
Hadamard matrices are square matrices with mutually orthogonal rows. The Hadamard conjecture states that Hadamard matrices of order exist whenever is , , o…
Splitting fields of real irreducible representations of finite groups
Dmitrii V. Pasechnik
We show that any irreducible representation of a finite group of exponent , realisable over , is realisable over the field …
Decomposing Linear Representations of Finite Groups
Kaashif Hymabaccus, Dmitrii Pasechnik
We develop a package using the computer algebra system GAP for computing the decomposition of a representation of a finite group over into irreducibles, as wel…
Locally toroidal polytopes of rank 6 and sporadic groups
Dmitrii V. Pasechnik
We augment the list of finite universal locally toroidal regular polytopes of type {3,3,4,3,3} due to P.McMullen and E.Schulte, adding as well as removing entries. This disproves a…
Random Chain Complexes
Viktor L. Ginzburg, Dmitrii V. Pasechnik
We study random, finite-dimensional, ungraded chain complexes over a finite field and show that for a uniformly distributed differential a complex has the smallest possible homolog…