FiSGO.PIrrepsSearch

Module implementing the search of projective irreducible representations.

Functions

build_absolute_bound

Implementation of Collins' [[1]_] absolute bound to the order of a group with an n-dimensional projective irreducible representations.

build_bounds

Generic bounds on the prime powers of an n-dimensional (quasi)primitive group in characteristic zero, for any n on the given range.

build_single_bound

Bounds on the prime powers of an n-dimensional (quasi)primitive group in characteristic zero.

factorial_factor

An implementation of Legendre's formula to compute the largest power of p dividing n!.

hiss_malle_range

Given a range of degrees, between 2 and 250, returns the list of pirreps with the given characteristics.

lubeck_bulk_get

Given a list of groups or group codes of the same type, returns their computed Lübeck data.

pirreps_search

Given a dimension or a dimension range, this function tries to search for simple groups containing projective representations within the given range.