Home Online Manual
Top
Back: qminor
Forward: LengthSymElement
FastBack: perron_lib
FastForward: purityfiltration_lib
Up: qmatrix_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
7.7.17.0. SymGroup
Procedure from library qmatrix.lib (see qmatrix_lib).

Usage:
SymGroup(n); n an integer (positive)

Return:
intmat

Purpose:
represent the symmetric group S(n) via integer vectors (permutations)

Note:
each row of the output integer matrix is an element of S(n)

Example:
 
LIB "qmatrix.lib";
//  "S(3)={(1,2,3),(1,3,2),(3,1,2),(2,1,3),(2,3,1),(3,2,1)}";
SymGroup(3);
==> 1,2,3,
==> 1,3,2,
==> 3,1,2,
==> 2,1,3,
==> 2,3,1,
==> 3,2,1
See also: LengthSym; LengthSymElement.