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math.GR2020
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…
math.GR2016
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…
math.GR2001
Local Characterizations of Geometries
Dmitrii V. Pasechnik
Geometric approach to classical and exceptional groups of Lie type has been quite successful and has led to the deveopment of the concept of buildings and polar spaces. The latter…