BraidGroup Class Reference

Class BraidGroup (defines a representation of a Braid Group)//. More...

#include <BraidGroup.h>

List of all members.

Public Member Functions
	BraidGroup (int n)
	Constructor (creates the braid group on n strands).
int	getRank () const
	get the rank of the braid group (number of strands)
Word	twist (const Word &w) const
	get the braid word called a half-twist (its square generates the center of the braid group)
Static Public Member Functions
static list< Word >	getBraidRelators (int N)
	Get a list (non-symmetrized) of braid relators.
Private Attributes
int	theRank

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Detailed Description

Class BraidGroup (defines a representation of a Braid Group)//.

A BraidGroup is uniquely defined by its index.

Definition at line 26 of file BraidGroup.h.

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Constructor & Destructor Documentation

BraidGroup::BraidGroup

(

int

n

)

[inline]

Constructor (creates the braid group on n strands).

Definition at line 36 of file BraidGroup.h.

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Member Function Documentation

static list< Word > BraidGroup::getBraidRelators

(

int

N

)

[static]

Get a list (non-symmetrized) of braid relators.

int BraidGroup::getRank

(

)

const [inline]

get the rank of the braid group (number of strands)

Definition at line 47 of file BraidGroup.h.

References theRank.

Word BraidGroup::twist

(

const Word &

w

)

const

get the braid word called a half-twist (its square generates the center of the braid group)

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Member Data Documentation

int BraidGroup::theRank [private]

Definition at line 63 of file BraidGroup.h.

Referenced by getRank().

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

• BraidGroup/include/BraidGroup.h