Finite Group Theory: New in Mathematica 7

Finite Group Theory

Mathematica 7 takes the first steps in integrating finite group theory into the Mathematica system, by providing extensive computable data on properties of known finite groups, as well as providing functions for efficiently counting the numbers of finite groups of particular sizes.

Efficient counting functions for finite groups and finite Abelian groups. »
Immediately accessible database of properties of known finite groups. »
Data on cyclic, alternating, symmetric, crystallographic and other groups.
Data on all simple groups from the classification of simple finite groups.
Over 35 properties of finite groups.
Systematic data on generators, conjugacy classes, subgroups and other properties.
Detailed character tables and other properties of point groups.


Find the Number of Finite Groups of a Given Order	Find the Number of Abelian Finite Groups of a Given Order	Compute the Number of Non-Abelian Groups of a Given Order

Visualize Sequences	Display the Multiplication Table for a Finite Group	Crystallographic Point Groups

Related Functions

FiniteGroupData

FiniteGroupCount

FiniteAbelianGroupCount

More About

New in 7.0: Computable Data

Discrete Mathematics

Mathematical Data

Combinatorial Functions