Struct FiniteGroup 

pub struct FiniteGroup {
    pub mul: Vec<Vec<usize>>,
    pub id: usize,
}

A finite group by its (0-indexed) multiplication table.

Fields

mul: Vec<Vec<usize>>

mul[a][b] = a · b.

id: usize

The identity element.

Implementations

impl FiniteGroup

pub fn order(&self) -> usize

pub fn inverse(&self, a: usize) -> usize

pub fn trivial() -> FiniteGroup

The trivial group 1.

pub fn cyclic(m: usize) -> FiniteGroup

The cyclic group Z/m (elements 0..m, addition mod m).

pub fn symmetric(n: usize) -> FiniteGroup

The symmetric group S_n (all n! permutations, indexed; multiplication = composition). This is the shape of a pigeonhole symmetry group (pigeon/hole permutations).

Trait Implementations

impl Clone for FiniteGroup

fn clone(&self) -> FiniteGroup

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.