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3 Conjugacy, fixed-point subgroups, and centralizers
 3.1 Centralizer
 3.2 Conjugacy
 3.3 Fixed points subgroup

3 Conjugacy, fixed-point subgroups, and centralizers

3.1 Centralizer

3.1-1 CentralizerAutomorphismOfF2
‣ CentralizerAutomorphismOfF2( aut )( function )

Returns a generating set for the centralizer of a given automorphism of \(F_2\).

3.2 Conjugacy

3.2-1 AreConjugateAutomorphismsOfF2
‣ AreConjugateAutomorphismsOfF2( a, b )( function )

Returns a conjugating element if the automorphisms \(a\) and \(b\) are conjugate. Otherwise, it returns false.

3.3 Fixed points subgroup

3.3-1 FixedSubgroupAutomorphismOfF2
‣ FixedSubgroupAutomorphismOfF2( aut )( function )

Returns a basis for the fixed-point subgroup of a given automorphism.

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