Groups

• Examples of Groups
• Base class for groups
• Set of homomorphisms between two groups.
• LibGAP-based Groups
• Generic LibGAP-based Group
• Mix-in Class for libGAP-based Groups
• PARI Groups
• Miscellaneous generic functions
• Free Groups
• Finitely Presented Groups
• Named Finitely Presented Groups
• Braid groups
• Indexed Free Groups
• Right-Angled Artin Groups
• Functor that converts a commutative additive group into a multiplicative group.
• Semidirect product of groups
• Multiplicative Abelian Groups
• Multiplicative Abelian Groups With Values
• Dual groups of Finite Multiplicative Abelian Groups
• Base class for abelian group elements
• Abelian group elements
• Elements (characters) of the dual group of a finite Abelian group.
• Homomorphisms of abelian groups
• Additive Abelian Groups
• Wrapper class for abelian groups
• Catalog of permutation groups
• Permutation groups
• “Named” Permutation groups (such as the symmetric group, S_n)
• Permutation group elements
• Permutation group homomorphisms
• Rubik’s cube group functions
• Conjugacy Classes Of The Symmetric Group
• Library of Interesting Groups
• Base classes for Matrix Groups
• Matrix Group Elements
• Finitely Generated Matrix Groups
• Homomorphisms Between Matrix Groups
• Matrix Group Homsets
• Coxeter Groups As Matrix Groups
• Linear Groups
• Orthogonal Linear Groups
• Symplectic Linear Groups
• Unitary Groups \(GU(n,q)\) and \(SU(n,q)\)
• Affine Groups
• Euclidean Groups
• Elements of Affine Groups
• Miscellaneous Groups
• Semimonomial transformation group
• Elements of a semimonomial transformation group.
• Class functions of groups.
• Conjugacy classes of groups
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Internals

• Base for Classical Matrix Groups

Indices and Tables

• Index
• Module Index
• Search Page