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 braid group = number of strands = number of generators + 1
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 braid group = number of strands = number of generators + 1

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