DehornoyForm Class Reference

Dehornoy Form of a braid word (aka/ handle free form). More...

#include <DehornoyForm.h>

List of all members.

Public Member Functions
	DehornoyForm (const int N, const Word &w)
Word	getDehornoyForm () const
	DehornoyForm (const int N, const Word &w)
	Create a Dehornoy form of a braid word.
Word	getDehornoyForm () const
	(Accessor function) Get a braid word representing a form.
Private Member Functions
Word	computeDehornoyForm (const Word &w)
Word	computeDehornoyForm (const Word &w)
	Function which computes the form (using LinkedBraidStructure).
Private Attributes
const int	theIndex
	The rank of the corresponding braid group.
Word	theDehornoyForm
	The Dehornoy form.
LinkedBraidStructure	theLinkedStructure
	Structure in which the form is kept.

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Detailed Description

Dehornoy Form of a braid word (aka/ handle free form).

This class uses BraidLinkedStructure to compute the Dehornoy form a braid-word. The object of this class is just a container to keep the form.

Definition at line 14 of file DehornoyForm.h.

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Constructor & Destructor Documentation

DehornoyForm::DehornoyForm (  const int  N, const Word &  w )

DehornoyForm::DehornoyForm (  const int  N, const Word &  w )

Create a Dehornoy form of a braid word. Note that the form will be computed right here. So, if you are not sure that the form will be used later do not create this object. Parameters: N  - rank of a braid group; w  - braid word

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Member Function Documentation

Word DehornoyForm::computeDehornoyForm (  const Word &  w  )  [private]

Function which computes the form (using LinkedBraidStructure).

Word DehornoyForm::computeDehornoyForm (  const Word &  w  )  [private]

Word DehornoyForm::getDehornoyForm (   )  const [inline]

(Accessor function) Get a braid word representing a form. Definition at line 56 of file DehornoyForm_old.h. References theDehornoyForm.

Word DehornoyForm::getDehornoyForm (   )  const [inline]

Definition at line 36 of file DehornoyForm.h. References theDehornoyForm.

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Member Data Documentation

Word DehornoyForm::theDehornoyForm [private]

The Dehornoy form. Definition at line 60 of file DehornoyForm.h. Referenced by getDehornoyForm().

const int DehornoyForm::theIndex [private]

The rank of the corresponding braid group. Definition at line 58 of file DehornoyForm.h.

LinkedBraidStructure DehornoyForm::theLinkedStructure [private]

Structure in which the form is kept. Definition at line 85 of file DehornoyForm_old.h.

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The documentation for this class was generated from the following files:

• BraidGroup/include/DehornoyForm.h
• BraidGroup/include/DehornoyForm_old.h

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