FreeGroup Class Reference

#include <FreeGroup.h>

List of all members.

Public Member Functions
	FreeGroup (int rank)
	(Constructor) Free group of the given rank.
	FreeGroup (const FiniteAlphabet &a)
bool	isPrimitive (const Word &w) const
	Determine if the word w is primitive or not.
bool	isAlmostPrimitive (const Word &w) const
	Determine if the word w is almost primitive or not.
bool	doesContain (const SubgroupFG &sbgp, const Word &w) const
	Determine whether a subgroup sbgp of a free group contains a word w.
const FiniteAlphabet &	getAlphabet () const
Private Attributes
int	theRank
FiniteAlphabet	theAlphabet
bool	useDefaultAlphabet
Friends
ostream &	operator<< (ostream &out, const FreeGroup &g)
	Output the presentation into a stream.
istream &	operator>> (istream &in, FreeGroup &g)
	Read an alphabet from a string.

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Detailed Description

Definition at line 24 of file FreeGroup.h.

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Constructor & Destructor Documentation

FreeGroup::FreeGroup

(

int

rank

)

(Constructor) Free group of the given rank.

FreeGroup::FreeGroup

(

const FiniteAlphabet &

a

)

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Member Function Documentation

bool FreeGroup::doesContain	(	const SubgroupFG &	sbgp,
		const Word &	w
	)			const

Determine whether a subgroup sbgp of a free group contains a word w.

const FiniteAlphabet& FreeGroup::getAlphabet

(

)

const [inline]

Definition at line 56 of file FreeGroup.h.

References theAlphabet.

bool FreeGroup::isAlmostPrimitive

(

const Word &

w

)

const

Determine if the word w is almost primitive or not.

bool FreeGroup::isPrimitive

(

const Word &

w

)

const

Determine if the word w is primitive or not.

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Friends And Related Function Documentation

ostream& operator<<	(	ostream &	out,
		const FreeGroup &	g
	)			[friend]

Output the presentation into a stream.

Definition at line 65 of file FreeGroup.h.

istream& operator>>	(	istream &	in,
		FreeGroup &	g
	)			[friend]

Read an alphabet from a string.

Definition at line 75 of file FreeGroup.h.

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Member Data Documentation

FiniteAlphabet FreeGroup::theAlphabet [private]

Definition at line 92 of file FreeGroup.h.

Referenced by getAlphabet().

int FreeGroup::theRank [private]

Definition at line 91 of file FreeGroup.h.

bool FreeGroup::useDefaultAlphabet [private]

Definition at line 93 of file FreeGroup.h.

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

• FreeGroup/include/FreeGroup.h