Groups

• Base class for groups
• Miscellaneous generic functions
• Multiplicative Abelian Groups
• Abelian group elements
• Homomorphisms of abelian groups
• Basic functionality for dual groups of finite multiplicative Abelian groups
• Permutation groups
• “Named” Permutation groups (such as the symmetric group, S_n)
• Permutation group elements
• Permutation group homomorphisms
• Rubik’s cube group functions
• Matrix Groups
• Matrix Group Elements
• Homomorphisms Between Matrix Groups
• Matrix Group Homsets
• Linear Groups
• General Linear Groups
• Special Linear Groups
• Orthogonal Linear Groups
• Symplectic Linear Groups
• Unitary Groups and